GENERAL CALIFORNIA MUNICIPAL MONEY MARKET FUND
N-30D, 2000-08-07
Previous: DREYFUS GENERAL NEW YORK MUNICIPAL MONEY MARKET FUND, N-30D, 2000-08-07
Next: BENCHMARK BANKSHARES INC, 10-Q, 2000-08-07




General California
Municipal Money
Market Fund

SEMIANNUAL REPORT
May 31, 2000

(reg.tm)





The  views  expressed herein are current to the date of this report. These views
and  the  composition  of the fund's portfolio are subject to change at any time
based on market and other conditions.

           * Not FDIC-Insured
           * Not Bank-Guaranteed
           * May Lose Value


                                 Contents

                                 THE FUND
--------------------------------------------------

                             2   Letter from the President

                             3   Discussion of Fund Performance

                             6   Statement of Investments

                            12   Statement of Assets and Liabilities

                            13   Statement of Operations

                            14   Statement of Changes in Net Assets

                            15   Financial Highlights

                            17   Notes to Financial Statements

                                 FOR MORE INFORMATION
---------------------------------------------------------------------------

                                 Back Cover

                                                                       The Fund

                                                             General California

                                                    Municipal Money Market Fund

LETTER FROM THE PRESIDENT

Dear Shareholder:

We  are  pleased  to  present  this  semiannual  report  for  General California
Municipal Money Market Fund, covering the six-month period from December 1, 1999
through  May  31,  2000.  Inside, you'll find valuable information about how the
fund  was  managed  during the reporting period, including a discussion with the
fund's portfolio manager, Jill Shaffro.

When  the  reporting  period  began,  international  and domestic economies were
growing  at  a  very  strong  pace,  giving  rise  to concerns that long-dormant
inflationary  pressures  might  reemerge.  Consumers continued to spend heavily,
unemployment  levels  reached  new  lows  and  the  stock  market,  while highly
volatile,    continued    to    climb.

Because  robust economic growth may trigger unwanted inflationary pressures, the
Federal  Reserve  Board  raised short-term interest rates three times during the
reporting  period.  In  total,  the  Federal Reserve Board has raised short-term
interest  rates  by  1.75  percentage  points  since late June 1999. While these
economic  influences  overall adversely affected long-term municipal bonds, they
positively    influenced    tax-exempt    money    market    yields.

We  appreciate  your  confidence over the past six months and we look forward to
your continued participation in General California Municipal Money Market Fund.

Sincerely,
/s/Stephen E. Canter

Stephen E. Canter
President and Chief Investment Officer
The Dreyfus Corporation
June 15, 2000

2


DISCUSSION OF FUND PERFORMANCE

Jill Shaffro, Portfolio Manager

How did General California Municipal Money Market Fund perform during the
period?

For  the six-month period ended May 31, 2000, the fund's Class A shares produced
a tax-exempt annualized yield of 2.77%, and the fund's Class B shares provided a
2.40%   tax-exempt   annualized  yield.  Taking  into  account  the  effects  of
compounding, the fund's Class A and Class B shares provided annualized effective
yields of 2.81% and 2.42%, respectively, for the same period.(1)

We  attribute  the  fund' s  performance  to  higher  short-term  interest rates
implemented  by  the  Federal  Reserve  Board  (the "Fed"), which helped enhance
tax-exempt money market yields.

What is the fund's investment approach?

The  fund  seeks  to  maximize current income exempt from federal and California
state  personal  income taxes, to the extent consistent with the preservation of
capital and the maintenance of liquidity.

In doing so, we employ two primary strategies. First, we attempt to add value by
constructing  a  diverse  portfolio  of  high  quality,  tax-exempt money market
instruments  from  California-exempt  issuers.  Second,  we  actively manage the
portfolio' s  average  weighted  maturity in anticipation of what we believe are
supply-and-demand changes in the short-term municipal marketplace.

For  example, if we expect an increase in short-term supply, we may decrease the
average  maturity  of  the portfolio, which could enable us to take advantage of
opportunities  when  the  short-term  supply increases. Yields generally tend to
rise  when  there  is  an  increase  in  new-issue supply competing for investor
interest.  New  securities  are generally issued with maturities in the one-year
range,  which  will  lengthen the portfolio's average maturity. If we anticipate
limited new-issue supply, we may look to extend the portfolio's average maturity
to maintain
                                                                      The Fund 3


DISCUSSION OF FUND PERFORMANCE (CONTINUED)

current  yields  for  as long as we believe practical. At other times, we try to
maintain  an average maturity that reflects our view of short-term interest-rate
trends and future supply-and-demand considerations.

What other factors influenced the fund's performance?

The  fund  was  positively  influenced  over  the past six months by robust U.S.
economic  growth,  rising  interest rates and a declining supply of newly issued
securities.

By  the  time  the  reporting  period  began  on December 1, 1999, it had become
apparent  that  the pace of economic growth in the United States was faster than
most  analysts  expected. Consumer confidence reached a 30-year high, oil prices
were  bouncing  back  from  the  previous  year' s lows, and employment remained
strong,  with  hourly  wages rising. These economic forces raised concerns among
fixed-income  investors that long-dormant inflationary pressures might reemerge.
In  response,  between  December  1,  1999  and  May  31,  2000,  the Fed raised
short-term  interest  rates  three  times  for a total interest-rate increase of
1.00%.

However,  tax-exempt  money  market  yields  generally rose less than comparable
taxable  yields  over the past six months. That's because California and many of
its  municipalities  enjoyed  higher  tax  revenues during the reporting period,
curtailing their need to borrow and resulting in a reduced supply of securities.
At  the same time, demand was high for California's tax-exempt securities in the
wake  of  new  wealth  generated  by a strong economy and a rising stock market,
especially from the technology industry centered in California's Silicon Valley.

4

What is the fund's current strategy?

Our  strategy continues to involve active management of the portfolio's weighted
average   maturity   and   asset   mix   according   to  our  interest-rate  and
supply-and-demand   expectations.   Although   we   believe   that  the  current
interest-rate  outlook  is uncertain, June tends to be a period of high seasonal
issuance  for California municipal bonds. Historically, periods of high issuance
have  tended  to  have  a  greater influence on the tax-exempt money market than
prevailing interest-rate trends.

Accordingly, we have recently adjusted the portfolio's average weighted maturity
toward  a  point  that  is  shorter  than  neutral  relative to other California
tax-exempt money market funds. This maturity management strategy was designed to
help  us  free  up cash for the next round of seasonal note issuance in June. We
hope  to  use  these  notes  to lock in competitive yields. In addition, we have
recently  invested opportunistically in short-term commercial paper in an effort
to maintain the portfolio's liquidity and keep average maturities short. For the
same  reasons,  we  have  recently avoided investments in municipal notes, which
tend to feature longer maturities.

Our  asset  mix  also  currently  emphasizes  Variable Rate Demand Notes (VRDNs)
because  of  the  competitively  high yields they offer. VRDNs generally feature
adjustable  yields,  short maturities, and afford the portfolio a high degree of
liquidity  and  credit  quality.  Of course, portfolio composition is subject to
change at any time.

June 15, 2000

(1)  ANNUALIZED EFFECTIVE YIELD IS BASED UPON DIVIDENDS DECLARED DAILY AND
REINVESTED MONTHLY. PAST PERFORMANCE IS NO GUARANTEE OF FUTURE RESULTS. YIELDS
FLUCTUATE. INCOME MAY BE SUBJECT TO STATE AND LOCAL TAXES FOR NON-CALIFORNIA
RESIDENTS, AND SOME INCOME MAY BE SUBJECT TO THE FEDERAL ALTERNATIVE MINIMUM TAX
(AMT) FOR CERTAIN INVESTORS. AN INVESTMENT IN THE FUND IS NOT INSURED OR
GUARANTEED BY THE FDIC OR THE U.S. GOVERNMENT. ALTHOUGH THE FUND SEEKS TO
PRESERVE THE VALUE OF YOUR INVESTMENT AT $1.00 PER SHARE, IT IS POSSIBLE TO LOSE
MONEY BY INVESTING IN THE FUND. YIELDS PROVIDED FOR THE FUND'S CLASS B SHARES
REFLECT THE ABSORPTION OF FUND EXPENSES BY THE DREYFUS CORPORATION PURSUANT TO
AN UNDERTAKING IN EFFECT THAT MAY BE EXTENDED, TERMINATED OR MODIFIED AT ANY
TIME. HAD THESE EXPENSES NOT BEEN ABSORBED, THE FUND'S CLASS B SHARES YIELD
WOULD HAVE BEEN LOWER. WITHOUT THE FUND'S EXPENSE ABSORPTION, THE FUND'S CLASS B
SHARES WOULD HAVE PRODUCED AN ANNUALIZED TAX-EXEMPT YIELD OF 2.35% AND AN
ANNUALIZED EFFECTIVE YIELD OF 2.38%.

                                                             The Fund 5

STATEMENT OF INVESTMENTS

May 31, 2000 (Unaudited)
<TABLE>

STATEMENT OF INVESTMENTS

                                                                                             Principal
TAX EXEMPT INVESTMENTS--100.2%                                                               Amount ($)               Value ($)
-----------------------------------------------------------------------------------------------------------------------------------
<S>                                                                                           <C>                      <C>

CAILFORNIA--88.8%

Adelanto Public Utility Authority, Revenue, Refunding,

  VRDN (Utility Systems Project) 3.40%, Series B

   (LOC; California State Teacher Retirement)                                                 5,300,000  (a)           5,300,000

Alameda Contra Costa Schools Financing Authority,

  COP, VRDN (Capital Improvements Financing Projects)

   4%, Series I, (Insured; AMBAC and LOC; Kredietbank)                                        8,000,000  (a)           8,000,000

Alameda County Industrial Development Authority,

  Revenue, VRDN:

    (Plyproperties Project) 4.30%, Series A

         (LOC; Wells Fargo Bank)                                                              4,400,000  (a)           4,400,000

      (Spectrum Label Corp.) 4.30%, Series A

         (LOC; Wells Fargo Bank)                                                              3,850,000  (a)           3,850,000

Anaheim Housing Authority, MFHR, VRDN,

  Refunding (Villas at Anaheim Hill)

   3.95% (LOC; National Bank of Canada)                                                       8,850,000  (a)           8,850,000

Butte County Office of Education, TRAN

   4.25%, 11/16/2000                                                                          6,000,000                6,015,919

California Health Facilities Financing Authority, Revenue,

  VRDN (Adventist) 4.15%, Series B (Insured; MBIA and

   LOC; California State Teacher Retirement)                                                  3,600,000  (a)           3,600,000

California Housing Finance Agency, Revenue, VRDN,

  (Home Mortgage) 4.10%, Series C (Insured; FSA and

  LOC; Commerzbank and California State Teacher

   Retirement)                                                                                8,500,000  (a)           8,500,000

California Pollution Control Financing Authority, VRDN:

  PCR, Refunding:

    (Pacific Gas and Electric):

         4.05%, Series B (LOC; Rabobank Nederland)                                            6,400,000  (a)           6,400,000

         4.15%, Series F (LOC; Banque Nationale DeParis)                                     13,000,000  (a)          13,000,000

         4.20%, Series C (LOC; Kredietbank)                                                   2,300,000  (a)           2,300,000

      (Sierra Pacific Industries Project)

         3.75% (LOC; Bank of America)                                                         5,000,000  (a)           5,000,000

   SWDR:

      (Colmac Energy Project):

         3.80%, Series A (LOC; Union Bank of Switzerland)                                     3,800,000  (a)           3,800,000

         5.70%, Series A (LOC; Union Bank of Switzerland)                                       500,000  (a)             500,000

      (Evergreen Distributors) 3.80%, Series A

         (LOC; California State Teacher Retirement)                                           2,430,000  (a)           2,430,000

California Public Capital Improvements Financing

  Authority, Revenue (Pooled Project) 3.60%, Series C,

   6/15/2000 (LOC; National Westminister Bank)                                               14,000,000               14,000,000

6

                                                                                               Principal
TAX EXEMPT INVESTMENTS (CONTINUED)                                                            Amount ($)               Value ($)
------------------------------------------------------------------------------------------------------------------------------------

CAILFORNIA (CONTINUED)

California School Cash Reserve Program Authority

   (Pool) 4%, Series A, 7/3/2000 (Insured; AMBAC)                                            15,000,000               15,011,444

California School Facilities Financing Corporation, COP,

  VRDN (Capital Improvements Financing Project)

   4.05%, Series D (LOC; Kredietbank)                                                        10,000,000  (a)          10,000,000

State of California, GO Note 4.95%, 10/1/2000                                                 5,130,000                5,150,777

California State Public Works Board, LR,

  Prerefunding (Department Corrections - State Prison)

   6.85%, Series A (Escrowed in; U.S. Government Securities)                                 10,000,000               10,285,954

California Statewide Communities Development Authority:

  Revenue, TRAN 4%, Series A-1, 6/30/2000

      (Insured; FSA)                                                                         11,000,000               11,006,688

   VRDN:

      COP (Northern California Retired Officers) 4.20%

         (LOC; Dresdner Bank)                                                                12,000,000  (a)          12,000,000

      Multi-Family Revenue (Canyon Creek Apartment)

         3.70%, Series C (LOC; FNMA)                                                         11,800,000  (a)          11,800,000

      Solid Waste Facilities Revenue (Chevron U.S.A. Inc.

         Project) 4.15% (LOC; Chevron U.S.A. Inc.)                                            1,500,000  (a)           1,500,000

City of Chula Vista, IDR, Refunding, VRDN

  (San Diego Gas and Electricity Co.) 4.55%, Series B

   (LOC; San Diego Gas and Electricity Co.)                                                  12,350,000  (a)          12,350,000

City of Clovis, MFHR, VRDN (Fowler Place

   Apartments Project) 3.85% (LOC; Wells Fargo Bank)                                          7,200,000  (a)           7,200,000

Contra Costa County Board of Education, TRAN

   3.75%, 6/30/2000                                                                           5,000,000                5,002,495

City of Daly Housing Development Finance Agency,

  Multi-Family Revenue, Refunding, VRDN

  (Serramonte Del Rey) 3.92%, Series A

   (LOC; FNMA)                                                                               16,000,000  (a)          16,000,000

Dublin Housing Authority, Multi-Family Revenue, VRDN

   (Park Sierra) 3.85%, Series A (LOC; Kredietbank)                                           4,400,000  (a)           4,400,000

Fresno, MFHR, Refunding, VRDN

   (Heron Points Apartments) 3.90% (LOC; Wells Fargo Bank)                                    5,000,000  (a)           5,000,000

Garden Grove Housing Authority, Multi-Family

  Revenue, VRDN (Valley View Senior Villas Project)

   3.75%, Series A (LOC; Wells Fargo Bank)                                                    5,900,000  (a)           5,900,000

Huntington Beach, MFHR, VRDN

   (Five Points Seniors Project) 4.05%, Series A (LOC; FNMA)                                  3,100,000  (a)           3,100,000

                                                                                                     The Fund 7

STATEMENT OF INVESTMENTS (Unaudited) (CONTINUED)

                                                                                              Principal
TAX EXEMPT INVESTMENTS (CONTINUED)                                                           Amount ($)                Value ($)
------------------------------------------------------------------------------------------------------------------------------------

CAILFORNIA (CONTINUED)

Irwindale, IDR, VRDN (Toys "R" Us Inc. Project)

   4.375% (LOC; Deutsche Bank)                                                                3,000,000  (a)           3,000,000

Los Angeles, VRDN:

  Department of Water and Power Electricity Plant,

      Revenue 4%, Series D (LOC; Toronto-Dominion Bank)                                      15,000,000  (a)          15,000,000

   MFHR:

      (Beverly Park Apartments) 3.80%, Series A

         (LOC; Federal Home Loan Banks)                                                       9,600,000  (a)           9,600,000

      Collateral (Oakwood Apartments) 4.05%

         (LOC; State Street Bank and Trust Co.)                                              13,955,000  (a)          13,955,000

      (Fountain Park Project) 4.05% (LOC; FNMA)                                               4,400,000  (a)           4,400,000

   Multi-Family Revenue (Loans To Lender Program):

      4.25%, Series A (LOC; Federal Home Loan Banks)                                          7,025,000  (a)           7,025,000

      4.25%, Series B (LOC; Federal Home Loan Banks)                                          9,325,000  (a)           9,325,000

Los Angeles County, TRAN 4%, 6/30/2000                                                       16,000,000               16,000,210

Los Angeles County Transport Commission,

  Sales Tax Revenue, Refunding, VRDN

  3.70%, Series A

   (Insured; FGIC and LOC; Bayerische Landesbank)                                            11,400,000  (a)          11,400,000

Metropolitan Water District, Southern California

  Water Works Revenue, 3.65%, Series B, 6/1/2000

   (LOC; Bank of America)                                                                     7,000,000                7,000,000

Newport Beach, Revenue, VRDN:

  (Hoag Memorial Hospital):

      4.25%, Series A                                                                         8,700,000  (a)           8,700,000

      4.25%, Series C                                                                         3,700,000  (a)           3,700,000

   (Hoag Memorial Hospital Presbyterian) 4.25%                                                9,600,000  (a)           9,600,000

Oakland, TRAN 4.20%, 9/29/2000                                                                4,580,000                4,588,326

Oakland Joint Powers Financing Authority, LR,

  VRDN:

    3.90%, Series A-1

         (Insured; FSA and LOC; Commerzbank)                                                  7,600,000  (a)           7,600,000

      3.90%, Series A-2

         (Insured; FSA and LOC; Commerzbank)                                                  5,000,000  (a)           5,000,000

Oakland Union School District, Alameda County,

   TRAN 4%, 11/17/2000                                                                       17,000,000               17,013,161

Orange County, Apartment Development  Revenue,

  VRDN:

    (Foothill Oaks Apartment) 3.80%, Series B

         (LOC; Bank of America)                                                               5,000,000  (a)           5,000,000

      Refunding:

         (Villa La Paz) 3.95%, Series F (LOC; FNMA)                                          11,500,000  (a)          11,500,000

         (WICO LF) 3.75%, Series G (LOC; FNMA)                                                5,000,000  (a)           5,000,000

8

                                                                                              Principal
TAX EXEMPT INVESTMENTS (CONTINUED)                                                           Amount ($)                Value ($)
------------------------------------------------------------------------------------------------------------------------------------

CAILFORNIA (CONTINUED)

Orange County Local Transportation Authority,

  Sales Tax Revenue 4.95%, Series A, 2/15/2001

   (Insured; MBIA)                                                                            3,000,000                3,025,763

Oxnard Industrial Development Authority, IDR, VRDN

  (Western Saw Manufacturers) 3.80%

   (LOC; California State Teacher Retirement)                                                 3,600,000  (a)           3,600,000

Oxnard Industrial Development Financing Authority,

  IDR, VRDN (Accurate Engineering Project)

   3.80% (LOC; California State Teacher Retirement)                                           2,335,000  (a)           2,335,000

Port Oakland, Revenue, VRDN (Merlots) 5.75%, Series JJ

   (Insured; FGIC and LOC; First Union National Bank)                                        10,000,000               10,000,000

Riverside County Housing Authority, MFHR, Refunding

  (Amanda Park Project) 3.70%, Series A

   (LOC; Federal Home Loan Banks)                                                             5,000,000                5,000,000

Riverside County School Financing Authority, RAN

   4%, Series A, 8/1/2000                                                                     5,000,000                5,004,411

Sacramento County Housing Authority, MFHR, Refunding,

   VRDN (River) 3.70%, Series C (LOC; FNMA)                                                  12,500,000  (a)          12,500,000

San Diego Area Local Government, COP, TRAN

   4%, Series A, 6/30/2000                                                                    5,000,000                5,003,261

San Jose, MFHR, VRDN:

  (Kimberly Woods Apartments)

      3.95%, Series A (LOC; Federal Home Loan Banks)                                         10,050,000  (a)          10,050,000

   (Sienna at Renaissance Square Apartments)

      3.70%, Series A (LOC; Landesbank Hessen)                                               12,000,000  (a)          12,000,000

Santa Ana Community Redeveloping Agency, Tax Allocation,

  Refunding (Santa Ana Redevelopment Project) 6.45%

   Series B, 12/15/2000
   (Escrowed in; U.S. Government Securities)                                                  5,150,000                5,326,465

South Coast Local Education Agency,

   TRAN, 4%, Series A, 6/30/2000 (Insured; MBIA)                                              5,500,000                5,502,779

U.S. RELATED--11.4%

Commonwealth of Puerto Rico, TRAN

   4.50%, Series A-1, 7/30/2000                                                               7,000,000                7,008,343

Commonwealth of Puerto Rico

  Government Development Bank, CP:

      3.55%, 7/13/2000                                                                        5,000,000                5,000,000

      3.55%, 7/20/2000                                                                        5,000,000                5,000,000

      3.55%, 10/26/2000                                                                      15,000,000               15,000,000

      3.60%, 8/10/2000                                                                        7,000,000                7,000,000

      3.80%, 10/17/2000                                                                      10,000,000               10,000,000

      4.45%, 9/15/2000                                                                       10,000,000               10,000,000

                                                                                                     The Fund 9

STATEMENT OF INVESTMENTS (Unaudited) (CONTINUED)

                                                                                              Principal
TAX EXEMPT INVESTMENTS (CONTINUED)                                                           Amount ($)                Value ($)
-----------------------------------------------------------------------------------------------------------------------------------

U.S. RELATED (CONTINUED)

Commonwealth of Puerto Rico Highway Authority,

  Highway Revenue, Prerefunding, 7.75%, Series Q

   (Escrowed in; U.S. Government Securities)                                                  1,350,000                1,381,449

Commonwealth of Puerto Rico Highway and

  Transportation Authority, Transportation Revenue,

  VRDN 3.50%, Series A

   (Insured; AMBAC and LOC; Bank of Nova Scotia)                                              2,000,000  (a)           2,000,000
------------------------------------------------------------------------------------------------------------------------------------

TOTAL INVESTMENTS (cost $547,793,736)                                                            100.2%              547,797,445

LIABILITIES, LESS CASH AND RECEIVABLES                                                            (.2%)              (1,343,212)

NET ASSETS                                                                                       100.0%              546,454,233

10

Summary of Abbreviations

AMBAC                     American Municipal Bond                   LR                        Lease Revenue
                             Assurance Corporation                  MBIA                      Municipal Bond Investors
COP                       Certificate of Participation                                          Assurance Insurance
CP                        Commercial Paper                                                      Corporation
FGIC                      Financial Guaranty Insurance              MFHR                      Multi-Family Housing Revenue
                             Company                                PCR                       Pollution Control Revenue
FNMA                      Federal National Mortgage                 RAN                       Revenue Anticipation Notes
                             Association                            SWDR                      Solid Waste Disposal Revenue
FSA                       Financial Security Assurance              TRAN                      Tax and Revenue Anticipation
GO                        General Obligation                                                       Notes
IDR                       Industrial Development Revenue            VRDN                      Variable Rate Demand Notes
LOC                       Letter of Credit


Summary of Combined Ratings (Unaudited)

Fitch                or          Moody's               or        Standard & Poor's                           Value (%)
------------------------------------------------------------------------------------------------------------------------------------

F1+/F1                           VMIG1/MIG1, P1                  SP1+/SP1, A1+/A1                                 90.6
AAA/AA(b)                        Aaa/Aa(b)                       AAA/AA(b)                                         2.6
Not Rated(c)                     Not Rated(c)                    Not Rated(c)                                      6.8
                                                                                                                 100.0

(A)  SECURITIES PAYABLE ON DEMAND. VARIABLE INTEREST RATE-SUBJECT TO PERIODIC
     CHANGE.

(B)  NOTES WHICH ARE NOT F, MIG OR SP RATED ARE REPRESENTED BY BOND RATINGS OF
     ISSUERS.

(C)  SECURITIES WHICH, WHILE NOT RATED BY FITCH, MOODY'S AND STANDARD & POOR'S
     HAVE BEEN DETERMINED BY THE MANAGER TO BE OF COMPARABLE QUALITY TO THOSE
     RATED SECURITIES IN WHICH THE FUND MAY INVEST.

(D)  AT MAY 31, 2000 THE FUND HAD $176,105,000 (32.2%) INVESTED IN SECURITIES
     WHOSE PAYMENT OF PRINCIPAL AND INTEREST IS DEPENDENT UPON REVENUES
     GENERATED FROM HOUSING PROJECTS.

SEE NOTES TO FINANCIAL STATEMENTS.
</TABLE>

                                                             The Fund 11

STATEMENT OF ASSETS AND LIABILITIES

May 31, 2000 (Unaudited)

                                                             Cost         Value
--------------------------------------------------------------------------------

ASSETS ($):

Investments in securities--See Statement of
Investments                                           547,793,736   547,797,445

Interest receivable                                                   5,592,934

Prepaid expenses and other assets                                        51,710

                                                                    553,442,089
--------------------------------------------------------------------------------

LIABILITIES ($):

Due to The Dreyfus Corporation and affiliates                           236,945

Cash overdraft due to Custodian                                       6,709,013

Accrued expenses                                                         41,898

                                                                      6,987,856
--------------------------------------------------------------------------------

NET ASSETS ($)                                                      546,454,233
--------------------------------------------------------------------------------

COMPOSITION OF NET ASSETS ($):

Paid-in capital                                                     546,661,273

Accumulated net realized gain (loss) on investments                   (210,749)

Accumulated gross unrealized appreciation on investments                  3,709
--------------------------------------------------------------------------------

NET ASSETS ($)                                                      546,454,233

NET ASSET VALUE PER SHARE

                                                          Class A       Class B
--------------------------------------------------------------------------------

Net Assets ($)                                        537,747,467     8,706,766

Shares Outstanding                                    537,954,175     8,707,098
--------------------------------------------------------------------------------

NET ASSET VALUE PER SHARE ($)                                1.00          1.00

SEE NOTES TO FINANCIAL STATEMENTS.

12

STATEMENT OF OPERATIONS

Six Months Ended May 31, 2000 (Unaudited)

--------------------------------------------------------------------------------

INVESTMENT INCOME ($):

INTEREST INCOME                                                      9,739,013

EXPENSES:

Management fee--Note 2(a)                                            1,452,648

Shareholder servicing costs--Note 2(c)                                 147,486

Professional fees                                                       34,022

Custodian fees                                                          28,714

Prospectus and shareholders' reports                                    25,109

Distribution fees (Class B)--Note 2(b)                                  13,534

Trustees' fees and expenses--Note 2(d)                                  13,348

Registration fees                                                       12,563

Miscellaneous                                                            7,282

TOTAL EXPENSES                                                       1,734,706

Less--reduction in management fee
  due to undertaking--Note 2(c)                                        (3,310)

NET EXPENSES                                                         1,731,396

INVESTMENT INCOME--NET                                               8,007,617
--------------------------------------------------------------------------------

REALIZED AND UNREALIZED GAIN (LOSS) ON INVESTMENTS--NOTE 1(B) ($):

Net realized gain (loss) on investments                                  5,709

Net unrealized appreciation (depreciation) on investments                3,709

NET REALIZED AND UNREALIZED GAIN (LOSS) ON INVESTMENTS                   9,418

NET INCREASE IN NET ASSETS RESULTING FROM OPERATIONS                 8,017,035

SEE NOTES TO FINANCIAL STATEMENTS.

                                                             The Fund 13

STATEMENT OF CHANGES IN NET ASSETS

                                         Six Months Ended
                                             May 31, 2000         Year Ended
                                              (Unaudited)  November 30, 1999
--------------------------------------------------------------------------------

OPERATIONS ($):

Investment income--net                          8,007,617           10,471,910

Net realized gain (loss) on investments             5,709             (12,835)

Net unrealized appreciation (depreciation)
   on investments                                   3,709                 --

NET INCREASE (DECREASE) IN NET ASSETS

   RESULTING FROM OPERATIONS                    8,017,035           10,459,075
--------------------------------------------------------------------------------

DIVIDENDS TO SHAREHOLDERS FROM ($):

Investment income--net:

Class A Shares                                (7,849,064)         (10,183,779)

Class B Shares                                  (158,553)            (288,131)

TOTAL DIVIDENDS                               (8,007,617)         (10,471,910)
--------------------------------------------------------------------------------

BENEFICIAL INTEREST TRANSACTIONS ($1.00 per share):

Net proceeds from shares sold:

Class A Shares                              1,451,373,804        1,607,160,863

Class B Shares                                 27,802,343           81,160,149

Dividends reinvested:

Class A Shares                                  7,373,073            9,464,698

Class B Shares                                    157,226              287,588

Cost of shares redeemed:

Class A Shares                            (1,444,898,473)      (1,428,449,295)

Class B Shares                               (36,567,338)         (72,892,744)

INCREASE (DECREASE) IN NET ASSETS FROM
   BENEFICIAL INTEREST TRANSACTIONS            5,240,635          196,731,259

TOTAL INCREASE (DECREASE) IN NET ASSETS        5,250,053          196,718,424
--------------------------------------------------------------------------------

NET ASSETS ($):

Beginning of Period                           541,204,180          344,485,756

END OF PERIOD                                 546,454,233          541,204,180

SEE NOTES TO FINANCIAL STATEMENTS.

14

FINANCIAL HIGHLIGHTS

The  following  tables  describe  the  performance  for each share class for the
fiscal  periods  indicated.  All  information  reflects  financial results for a
single fund share. Total return shows how much your investment in the fund would
have  increased  (or  decreased) during each period, assuming you had reinvested
all dividends and distributions. These figures have been derived from the fund's
financial statements.

<TABLE>

                                           Six Months             Year Ended            Four Months             Year Ended
                                                 Ended            November 30,                Ended                 July 31,
                                          May 31, 2000            ______________        November 30,         ______________________
Class A Shares                             (Unaudited)           1999      1998              1997(a)         1997     1996    1995
------------------------------------------------------------------------------------------------------------------------------------
<S>                                              <C>            <C>        <C>                <C>            <C>      <C>      <C>

Per Share Data ($):

Net asset value,
   beginning of period                            1.00          1.00       1.00                1.00         1.00      1.00     1.00

Investment Operations:

Investment income--net                            .014          .024       .027                .010         .029      .029      031

Distributions:

Dividends from investment
   income--net                                  (.014)         (.024)     (.027)              (.010)       (.029)    (.029)   (.031)

Net asset value, end of
   period                                        1.00           1.00       1.00                1.00         1.00      1.00     1.00
------------------------------------------------------------------------------------------------------------------------------------

Total Return (%)                                 2.79(b)        2.44       2.78               2.96(b)       2.95      2.94     3.14
------------------------------------------------------------------------------------------------------------------------------------

Ratios/Supplemental
   Data (%):

Ratio of expenses to
   average net assets                            .58(b)         .61        .64                 .70(b)        .64       .65      .52

Ratio of net investment
   income to average
   net assets                                   2.76(b)        2.42       2.74                2.97(b)       2.91      2.91     3.07

Decrease reflected in above
   expense ratios due to
   undertakings by The
   Dreyfus Corporation                              --          --         --                    --          --         --      .11
------------------------------------------------------------------------------------------------------------------------------------

Net Assets, end of period
   ($ x 1,000)                                 537,747     523,890    335,726               361,102      327,226    390,1   463,404

(A) THE FUND CHANGED ITS FISCAL YEAR END FROM JULY 31 TO NOVEMBER 30.

(B) ANNUALIZED.

SEE NOTES TO FINANCIAL STATEMENTS.
</TABLE>

                                                             The Fund 15

<PAGE>
<TABLE>

FINANCIAL HIGHLIGHTS (CONTINUED)

                                              Six Months        Year Ended                Four Months        Year Ended
                                                   Ended         November 30,                   Ended           July 31,
                                            May 31, 2000        ________________          November 30,        _______________
CLASS B SHARES                               (Unaudited)         1999       1998               1997(a)       1997       1996(b)
------------------------------------------------------------------------------------------------------------------------------------
<S>                                               <C>            <C>         <C>             <C>            <C>            <C>

PER SHARE DATA ($):

Net asset value,
   beginning of period                              1.00        1.00        1.00              1.00           1.00         1.00

Investment Operations:

Investment income--net                              .012        .020        .024              .009           .026         .025

Distributions:

Dividends from investment
   income--net                                    (.012)      (.020)      (.024)             (.009)        (.026)       (.025)

Net asset value, end of
   period                                           1.00       1.00        1.00               1.00          1.00         1.00
------------------------------------------------------------------------------------------------------------------------------------

TOTAL RETURN (%)                                    2.41(c)    2.06        2.39               2.57(c)       2.61         2.56
------------------------------------------------------------------------------------------------------------------------------------

RATIOS/SUPPLEMENTAL
   DATA (%):

Ratio of expenses to
   average net assets                               1.00(c)     .95        1.00               1.00(c)       1.00         1.00

Ratio of net investment
   income to average
   net assets                                       2.34(c)    2.06        2.34               2.62(c)       2.52         2.45

Decrease reflected in above
   expense ratios due to
   undertakings by The
   Dreyfus Corporation                               .05(c)     .13         .07                .13(c)        .07          .08
------------------------------------------------------------------------------------------------------------------------------------

Net Assets, end of period
   ($ x 1,000)                                     8,707     17,314       8,760              2,669           928        5,475

(A) THE FUND CHANGED ITS FISCAL YEAR END FROM JULY 31 TO NOVEMBER 30.

(B) FROM AUGUST 1, 1995 (COMMENCEMENT OF INITIAL OFFERING) TO JULY 31, 1996.

(C) ANNUALIZED.

SEE NOTES TO FINANCIAL STATEMENTS.
</TABLE>

16

NOTES TO FINANCIAL STATEMENTS (Unaudited)

NOTE 1--Significant Accounting Policies:

General  California Municipal Money Market Fund (the "fund") is registered under
the Investment Company Act of 1940, as amended (the "Act"), as a non-diversified
open-end  management  investment  company. The fund's investment objective is to
maximize current income exempt from Federal and State of California income taxes
to the extent consistent with the preservation of capital and the maintenance of
liquidity.  The  Dreyfus  Corporation  (the  "Manager") serves  as   the  fund's
investment  adviser.  The  Manager  is a direct subsidiary of Mellon Bank, N.A.,
which is a wholly-owned subsidiary of Mellon Financial Corporation.

Effective  March  22,  2000, Dreyfus Service Corporation ("DSC"), a wholly-owned
subsidiary  of  the  Manager, became the distributor of the fund's shares, which
are sold to the public without a sales charge.  Prior to March 22, 2000, Premier
Mutual  Fund Services, Inc. was the distributor. The fund is authorized to issue
an  unlimited  number  of  $.001  par  value  shares in the following classes of
shares:  Class  A  and  Class B. Class A shares and Class B shares are identical
except  for  the  services  offered  to and the expenses borne by each class and
certain voting rights. Class B shares are subject to a Distribution Plan adopted
pursuant  to  Rule  12b-1  under  the  Act  and, in addition, Class B shares are
charged  directly  for  sub-accounting  services  provided  by Service Agents (a
securities  dealer,  financial institution or other industry professional) at an
annual  rate  of  .05%  of  the value of the average daily net assets of Class B
shares.

It  is  the  fund's policy to maintain a continuous net asset value per share of
$1.00; the fund has adopted certain investment, portfolio valuation and dividend
and distribution policies to enable it to do so. There is no assurance, however,
that  the  fund  will  be able to maintain a stable net asset value per share of
$1.00.

The  fund' s  financial  statements  are  prepared  in accordance with generally
accepted accounting principles which may require the use of management estimates
and assumptions. Actual results could differ from those estimates.

                                                             The Fund 17

NOTES TO FINANCIAL STATEMENTS (Unaudited) (CONTINUED)

(A) PORTFOLIO VALUATION: Investments in securities are valued at amortized cost,
which  has been determined by the fund's Board of Trustees to represent the fair
value of the fund's investments.

(B)  SECURITIES  TRANSACTIONS AND INVESTMENT INCOME: Securities transactions are
recorded  on  a  trade date basis. Interest income, adjusted for amortization of
premiums  and original issue discounts on investments, is earned from settlement
date and recognized on the accrual basis. Realized gain and loss from securities
transactions  are  recorded  on  the  identified cost basis. Cost of investments
represents  amortized  cost.  Under the terms of the custody agreement, the fund
received  net  earnings credits of $20,133 during the period ended May 31, 2000,
based  on  available  cash  balances  left  on deposit. Income earned under this
arrangement is included in interest income.

The  fund  follows  an  investment  policy  of  investing primarily in municipal
obligations  of  one  state. Economic changes affecting the state and certain of
its  public  bodies  and municipalities may affect the ability of issuers within
the  state to pay interest on, or repay principal of, municipal obligations held
by the fund.

(C) DIVIDENDS TO SHAREHOLDERS: It is the policy of the fund to declare dividends
daily  from  investment  income-net.  Such dividends are paid monthly. Dividends
from  net realized capital gain are normally declared and paid annually, but the
fund  may  make  distributions  on  a  more  frequent  basis  to comply with the
distribution  requirements of the Internal Revenue Code of 1986, as amended (the
"Code").  To the extent that net realized capital  gain can be offset by capital
loss carryovers, it is the policy of the fund not to distribute such gain.

(D) FEDERAL INCOME TAXES: It is the policy of the fund to continue to qualify as
a  regulated  investment  company, which can distribute tax exempt dividends, by
complying  with the applicable provisions of the Code, and to make distributions
of  income  and  net  realized  capital  gain  sufficient  to  relieve  it  from
substantially all Federal income and excise taxes.

18

The  fund  has  an  unused  capital  loss  carryover  of  approximately $217,000
available  for  Federal  income  tax  purposes  to be applied against future net
securities  profits,  if  any,  realized subsequent to November 30, 1999. If not
applied,  $8,200  of  the  carryover expires in fiscal 2001, $113,800 expires in
fiscal  2002,  $33,000  expires  in fiscal 2003, $19,000 expires in fiscal 2004,
$21,000  expires  in  fiscal  2005,  $9,000  expires  in fiscal 2006 and $13,000
expires in fiscal 2007.

At  May  31,  2000,  the cost of investments for Federal income tax purposes was
substantially  the  same  as  the cost for financial reporting purposes (see the
Statement of Investments).

NOTE 2--Management Fee and Other Transactions  With Affiliates:

(A)  Pursuant  to  a  management  agreement  ("Agreement") with the Manager, the
management  fee  is computed at the annual rate of .50 of 1% of the value of the
fund' s  average daily net assets and is payable monthly. The Agreement provides
that  if  in  any  full  fiscal year the aggregate expenses, exclusive of taxes,
brokerage fees, interest on borrowings and extraordinary expenses, exceed 1 1/2%
of  the  value  of   the fund's  average net assets, the  fund  may  deduct from
payments  to  be  made  to  the  Manager,  or  the Manager will bear such excess
expense.  The  manager  had  undertaken  through  May  31,  2000  to  reduce the
management  fee paid by the fund, to the extent that the fund's aggregate annual
expenses  (exclusive  of certain expenses as described above) exceeded an annual
rate  of  1%  for  Class  A shares, of the value of the fund's average daily net
assets. The reduction in management fee, pursuant to the undertaking amounted to
$3,310 during the period ended May 31, 2000

(B)  Under  the Distribution Plan with respect to Class B ("Class B Distribution
Plan"),  adopted  pursuant  to Rule 12b-1 under the Act, Class B shares directly
bear   the  cost  of  preparing,  printing  and  distributing  prospectuses  and
statements    of    additional    information    and    of
                                                                     The Fund 19

NOTES TO FINANCIAL STATEMENTS (Unaudited) (CONTINUED)

implementing  and  operating the Class B Distribution Plan. In addition, Class B
shares  reimburse  the  distributor  for  payments  made  to  third  parties for
distributing  their shares at an annual rate up to .20 of 1% of the value of the
average  daily  net  assets  of  Class B shares. During the period ended May 31,
2000,  Class B shares were charged $13,534 pursuant to the Distribution Plan, of
which $5,630 was paid to DSC.

(C)  Under  the  Shareholder  Services  Plan  with  respect to Class A ("Class A
Shareholder  Services  Plan"), Class  A   shares  reimburse DSC an amount not to
exceed  an annual rate of .25 of 1% of the value of the average daily net assets
of  Class A for certain allocated expenses of providing personal services and/or
maintaining  shareholder  accounts.  The  services provided may include personal
services  relating  to  shareholder  accounts,  such  as  answering  shareholder
inquiries  regarding Class A shares and providing reports and other information,
and  services  related  to  the  maintenance of shareholder accounts. During the
period  ended  May 31, 2000, Class A shares were charged $72,876 pursuant to the
Class A Shareholder Services Plan, of which $36,438 was paid to DSC.

Under  the  Shareholder  Services  Plan  with  respect  to  Class  B  (" Class B
Shareholder  Services  Plan"), Class  B   shares  pay  the  distributor  for the
provision  of  certain  services  to the holders of Class B shares, at an annual
rate of .25 of 1% of the value of the average daily net assets of Class B shares
for  servicing  shareholder accounts. The services provided may include personal
services  relating  to  shareholder  accounts,  such  as  answering  shareholder
inquiries  regarding Class B shares and providing reports and other information,
and services related to the maintenance of shareholder accounts. The distributor
may  make  payments  to  Service  Agents  in  respect  of  their  services.  The
distributor  determines  the  amounts  to  be paid to Service Agents. During the
period  ended  May 31, 2000, Class B shares was charged $20,301, of which $8,445
was paid to DSC.

20

The  fund  compensates  Dreyfus Transfer, Inc., a wholly-owned subsidiary of the
Manager,   under  a  transfer  agency  agreement  for  providing  personnel  and
facilities  to  perform transfer agency services for the fund. During the period
ended May 31, 2000, the fund was charged $33,594 pursuant to the transfer agency
agreement.

(D)  Each  Board  member also serves as a Board member of other funds within the
Dreyfus complex (collectively, the "Fund Group"). Effective April 13, 2000, each
Board  member  who was not an "affiliated person" as defined in the Act receives
an  annual  fee  of  $50,000  and  an  attendance fee of $6,500 for each meeting
attended  in  person  and  $500 for telephone meetings. These fees are allocated
among  the  funds  in  the  Fund  Group.  The  Chairman of the Board receives an
additional  25% of such compensation. Prior to April 13, 2000, each Board member
who  was not an "affiliated person" as defined in the Act received from the fund
an  annual fee of $2,500 and an attendance fee of $250 per meeting. The Chairman
of  the  Board  received  an additional 25% of such compensation. Subject to the
fund' s  Director  Emeritus  Program Guidelines, Emeritus Board members, if any,
receive  50%  of  the fund's annual retainer fee and per meeting fee paid at the
time    the    Board    member    achieved    emeritus    status.

                                                             The Fund 21

                                                           For More Information

                        General California Municipal Money Market Fund
                        200 Park Avenue
                        New York, NY 10166

                      Manager

                        The Dreyfus Corporation
                        200 Park Avenue
                        New York, NY 10166

                      Custodian

                        The Bank of New York
                        100 Church Street
                        New York, NY 10286

                      Transfer Agent &
                      Dividend Disbursing Agent

                        Dreyfus Transfer, Inc.
                        P.O. Box 9671
                        Providence, RI 02940

                      Distributor
                        Dreyfus Service Corporation
                        200 Park Avenue
                        New York, NY 10166

To obtain information:

BY TELEPHONE
Call 1-800-645-6561

BY MAIL  Write to:
The Dreyfus Family of Funds
144 Glenn Curtiss Boulevard
Uniondale, NY 11556-0144

BY E-MAIL  Send your request
to [email protected]

ON THE INTERNET  Information can be viewed online or downloaded from:

http://www.dreyfus.com

(c) 2000 Dreyfus Service Corporation                                   573SA005





© 2022 IncJournal is not affiliated with or endorsed by the U.S. Securities and Exchange Commission