非交换环初级教程

Preface
NotestotheReader
Chapter1.Wedderburn-ArtinTheory
1.Basicterminologyandexamples
2.SemisimpUcity
3.Structureofsemisimplerings
Chapter2.JacobsonRadicalTheory
4.TheJacobsonradical
5.Jacobeonradicalunderchangeofrings
6.GroupringsandtheJ-semisimplicityproblem
Chapter3.IntroductiontoRepresentationTheory
7.Modulesoverfinite-dimensionalalgebras
8.Representationsofgroup8
9.Lineargroups
Chapter4.PrimeandPrimitiveRings
10.Theprimeradical;primeand8emiprimerings
11.Structureofprimitiverings;theDensityTheorem
12.Subdirectproductsandcommutativitytheorems
Chapter5.IntroductiontoDivisionRings
13.Divisionrings
14.Someclassicalconstructions
15.Tensorproductsandmaximalsubfields
16.Polynomialsoverdivisionrings
Chapter6.OrderedStructuresinRings
17.Orderingsandpreorderingsinrings
18.Ordereddivisionrings
Chapter7.LocalRings,SemilocalRings,andIdempotents
19.Localrings
20.Semilocalrings
21.Thetheoryofidempotents
22.Centralidempotentsandblockdecompositions
Chapter8.PerfectandSemiperfectRings
23.Perfectandsemiperfectrings
24.Homologicalcharacterizationsofperfectand
semiperfectrings
25.Principalindecomposablesandbasicrings
References
NameIndex
SubjectIndex