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1、GELFAND.MANINHomologicalAlgebraS.I.Gelfand~omologicalThisbook,thefirstprintingofwhichwaspublishedasYu.I.ManinVolume38oftheEncyclopaediaofMathematicalSci-Algebraences,presentsamodernapproachtohomologicalalge-bra,basedonthesystematicuseoftheterminologyand
2、ideasofderivedcategoriesandderivedfunctors.Thebookcontainsapplicationsofhomologicalalgebratothetheoryofsheavesontopologicalspaces,toHodgetheory,andtothetheoryofmodulesoverringsofalge-braicdifferentialoperators(algebraicD-modules).TheauthorsGelfandandMan
3、inexplainallthemainideasofthetheoryofderivedcategories.Bothauthorsarewell-knownresearchersandthesecond,Manin,isfamousforhisworkinalgebraicgeometryandmathematicalphys-ics.Thebook;anexcellentreferenceforgraduatestu-A'dentsandresearchersinmathematicsandals
4、oforphys-icistswhousemethodsfromalgebraicgeometryandalgebraictopology.12GELConsultingEditorsoftheSeries:A.A.Agrachev,A.A.Gonchar,E.F.Mishchenko,N.M.Ostianu,V.P.Sakharova,A.B.ZhishchenkoTitleoftheRussianedition:Itoginaukiitekhniki,Sovremennyeproblemymate
5、matiki,Fundamental'nyenapravleniya,Val.38,Algebra5PublisherVINITI,Moscow1989SecondPrintingigggoftheFirstEdition1994,whichwasoriginallypublishedasAlgebraV,Volume38oftheEncyclopaediaofMathematicalSciences.DieDeutscheBibliothek-CIP-Emhettsaufnahme,.:Algebr
6、n/A.1:~ost.Shafirevich(ed.).-Berlin;Heidelberg;NewYor&+Ba:celona,;:Budapest;HongKong;London;Milan;Paris;Santa.Clara;Singapore;Tokyo:SpringerEinheitssacht.:Algebra<Teilw.hrsg.vanA.N.Paahin;I.R.Shafarevich5.Homologicalalgebra.-1.ed.,2.printing.-1999
7、(Encyclopaediaofmathematicalsciences;Val.38)ISBN3-540-65378-3MathematicsSubjectClassification(1991):14Fo5,18-XX,iBFxx,18Gxx,pC35,32Sxx,32S35,32S40,55NxxISBN3-540-65378-3Springer-VerlagBerlinHeidelbergNewYorkThisworkissubjecttocopyright.Al1rightsarereser
8、ved,whetherthewholeorpartofthematerialisconcerned,specificaUytherightsoftranslation,reprinting,reuseofillustrations,recitation,broadcastin^,-.re~roductiononmicrofdmrorinanyotherway,andstorageindatabanks.Duplicationofthispublicati
