Basic Algebra II：Second Edition

Aclassictextandstandardreferenceforageneration,thisvolumeanditscompanionaretheworkofanexpertalgebraistwhotaughtatYaleformorethanthreedecades.NathanJacobson'sbookspossessaconceptualandtheoreticalorientation;inadditiontotheirvalueasclassroomtexts,theyserveasvaluablereferences.VolumeIIcomprisesallofthesubjectsusuallycoveredinafirst-yeargraduatecourseinalgebra.Topicsincludecategories,universalalgebra,modules,basicstructuretheoryofrings,classicalrepresentationtheoryoffinitegroups,elementsofhomologicalalgebrawithapplications,commutativeidealtheory,andformallyrealfields.Inadditiontotheimmediateintroductionandconstantuseofcategoriesandfunctors,itrevisitsmanytopicsfromVolumeIwithgreaterdepthandsophistication.Exercisesappearthroughoutthetext,alongwithinsightful,carefullyexplainedproofs.