[同调代数].rotman.清晰版

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1、UniversitextForfurthervolumes:http://www.springer.com/series/223JosephJ.RotmanAnIntroductiontoHomologicalAlgebraSecondEdition123JosephJ.RotmanDepartmentofMathematicsUniversityofIllinoisatUrbana-ChampaignUrbanaIL61801USArotman@math.uiuc.eduEditorialboard:SheldonAxler,SanFranciscoStateUnivers

2、ityVincenzoCapasso,UniversitadegliStudidiMilano`CarlesCasacuberta,UniversitatdeBarcelonaAngusMacIntyre,QueenMary,UniversityofLondonKennethRibet,UniversityofCalifornia,BerkeleyClaudeSabbah,CNRS,EcolePolytechnique´EndreSuli,UniversityofOxford¨WojborWoyczynski,CaseWesternReserveUniversityISBN:

3、978-0-387-24527-0e-ISBN:978-0-387-68324-9DOI10.1007/978-0-387-68324-9LibraryofCongressControlNumber:2008936123MathematicsSubjectClassification(2000):18-01cSpringerScience+BusinessMedia,LLC2009Allrightsreserved.Thisworkmaynotbetranslatedorcopiedinwholeorinpartwithoutthewrittenpermissionofthe

4、publisher(SpringerScience+BusinessMedia,LLC,233SpringStreet,NewYork,NY10013,USA),exceptforbriefexcerptsinconnectionwithreviewsorscholarlyanalysis.Useinconnectionwithanyformofinformationstorageandretrieval,electronicadaptation,computersoftware,orbysimilarordissimilarmethodologynowknownorhere

5、afterdevelopedisforbidden.Theuseinthispublicationoftradenames,trademarks,servicemarks,andsimilarterms,eveniftheyarenotidentifiedassuch,isnottobetakenasanexpressionofopinionastowhetherornottheyaresubjecttoproprietaryrights.Printedonacid-freepaperspringer.comTothememoryofmymotherRoseWolfRotman

6、ContentsPrefacetotheSecondEdition...................xHowtoReadThisBook.......................xiiiChapter1Introduction1.1SimplicialHomology......................11.2CategoriesandFunctors.....................71.3SingularHomology.......................29Chapter2HomandTensor2

7、.1Modules.............................372.2TensorProducts.........................692.2.1AdjointIsomorphisms......................91Chapter3SpecialModules3.1ProjectiveModules.......................983.2InjectiveModules........................1153.3FlatMo