内容简介
AsIseeit,thegraduatecourseinalgebramustprimarilypreparestudentstohandlethealgebrawhichtheywillmeetinallofmathematics:topology,partialdifferentialequations,differentialgeometry,algebraicgeometry,analysis,andrepresentationtheory,nottospeakofalgebraitselfandalgebraicnumbertheorywithallitsramifications.HenceIhaveinsertedthroughoutreferencestopapersandbookswhichhaveappearedduringthelastdecades,toindicatesomeofthedirectionsinwhichthealgebraicfoundationsprovidedbythisbookareused;Ihaveaccompaniedthesereferenceswithsomemotivatingcomments,toexplainhowthetopicsofthepresentbookfitintothemathematicsthatistocomesubsequentlyinvariousfields;andIhavealsomentionedsomeunsolvedproblemsofmathematicsinalgebraandnumbertheory.Theabcconjectureisperhapsthemostspectacularofthese.