非交换环初级教程（第2版）

图书标准信息

• 作者 [美]拉姆 著
• 出版社 清华大学出版社
• 出版时间 2010-12
• 版次 2
• ISBN 9787302241515
• 定价 50.00元
• 装帧 平装
• 开本 16开
• 纸张 胶版纸
• 页数 385页
• 正文语种 英语

【内容简介】

AFirstCourseinNoncommutativeRings，anoutgrowthoftheauthorslecturesattheUniversityofCaliforniaatBerkeley，isintendedasatextbookforaone-semestercourseinbasicringtheory.ThematerialcoveredincludestheWedderburn-Artintheoryofsemisimplerings，Jacobsonstheoryoftheradical，representationtheoryofgroupsandalgebras，primeandsemiprimerings，primitiveandsemiprimitiverings，divisionrings，orderedrings，localandsemilocalrings，perfectandsemiperfectrings，andsoforth.Byaimingthelevelofwritingatthenoviceratherthantheconnoisseurandbystressingtheroleofexamplesandmotivation，theauthorhasproducedatextthatissuitablenotonlyforuseinagraduatecourse，butalsoforself-studyinthesubjectbyinterestedgraduatestudents.Morethan400exercisestestingtheunderstandingofthegeneraltheoryinthetextareincludedinthisnewedition.

【目录】

prefacetothesecondedition
prefacetothefirstedition
notestothereader
chapter1wedderburn-artintheory
1.basicterminologyandexamples
exercisesfor1
2.semisimplicity
exercisesfor2
3.structureofsemisimplerings
exercisesfor3
chapter2jacobsonradicaltheory
4.thejacobsonradical
exercisesfor4
5.jacobsonradicalunderchangeofrings.
exercisesfor5
6.groupringsandthej-semisimplicjtyproblem
exercisesfor6
chapter3introductiontorepresentationtheory
7.modulesoverfinite-dimensionalalgebras
exercisesfor7
8.representationsofgroups
exercisesfor8
9.lineargroups
exercisesfor9
chapter4primeandprimitiverings
10.theprimeradical;primeandsemiprimerings
exercisesfor10
11.structureofprimitiverings;thedensitytheorem
exercisesfor11
12.subdirectproductsandcommutativitytheorems
exercisesfor12
chapter5introductiontodivisionrings
13.divisionrings
exercisesfor13
14.someclassicalconstructions
exercisesfor14
15.tensorproductsandmaximalsubfields
exercisesfor15
16.polynomialsoverdivisionrings
exercisesfor16
chapter6orderedstructuresinrings
17.orderingsandpreorderingsinrings
exercisesfor17
18.ordereddivisionrings
exercisesfor18
chapter7localrings,semilocairings,andidempotents
19.localrings
exercisesfor19
20.semilocalrings
appendix:endomorphismringsofuniserialmodules
exercisesfor20
21.ththeoryofidempotents
exercisesfor21
22.centralidempotentsandblockdecompositions
exercisesfor22
chapter8perfectandsemiperfectrings
23.perfectandsemiperfectrings
exercisesfor23
24.homoiogicalcharacterizationsofperfectandsemiperfectrings
exercisesfor24
25.principalindecomposablesandbasicrings
exercisesfor25
references
nameindex
subjectindex