模与环讲义

图书标准信息

• 作者 [美]拉姆（T.Y.Lam） 著
• 出版社 世界图书出版公司
• 出版时间 2012-06
• 版次 1
• ISBN 9787510044182
• 定价 79.00元
• 装帧 平装
• 开本 24开
• 纸张 胶版纸
• 页数 557页
• 正文语种 英语

【内容简介】

《模与环讲义》主要内容包括：FreeModules，Projective，andInjectiveModules、FlatModulesandHomologicalDimensions、MoreTheoryofModules、RingsofQuotients、MoreRingsofQuotients、FrobeniusandQuasi-FrobeniusRings、MatrixRings，CategoriesofModules，andMoritaTheory等七大章。

【目录】

Preface
NotestotheReader
PartialListofNotations
PartialListofAbbreviations

1FreeModules，Projective，andInjectiveModules
1.FreeModules
1A.InvariantBasisNumber（IBN）
1B.StableFiniteness
1C.TheRankCondition
1D.TheStrongRankCondition
1E.Synopsis
Exercisesfor1
2.ProjectiveModules
2A.BasicDefinitionsandExamples
2B.DualBasisLemmaandInveriibleModules
2C.InvertibleFraaionalIdeals
2D.ThePicardGroupofaCommutativeRing
2E.HereditaryandSemihereditaryRings
2F.ChaseSmallExamples
2G.HereditaryArtinianRings
2H.TraceIdeals
Exercisesfor2
3.InjectiveModules
3A.Baer'sTestforInjectivitv
3B.Self-IniectiveRings
3C.InjectivityversusDivisibility
3D.EssentialExtensionsandInjectiveHulls
3E.InjectivesoverRightNoetherianRings
3F.IndecomposableInjectivesandUniformModules
3G.InjectivesoverSomeArtinianRings
3H.SimpleInjcctives
3I.Matlis'Theory
3J.SomeComputationsoflnjectiveHulls
3K.ApplicationstoChainConditions
Exercisesfor3

2FlatModulesandHomologicalDimensions
4.FlatandFaithfullyFlatModules
4A.BasicPropertiesandFlatnessTests
4B.Flatness，Torsion-Freeness，andvonNeumannRegularity
4C.MoreFlatnessTests
4D.FinitelyPresented（f.p.）Modules
4E.FinitelyGeneratedFlatModules
4F.DirectProductsofFlatModules
4G.CoherentModulesandCoherentRings
4H.SemihereditaryRingsRevisited
4I.FaithfullyFlatModules
4J.PureExactSequences
Exercisesfor4
5.HomologicalDimensions
5A.Schanuel'sLemmaandProjectiveDimensions
5B.ChangeofRings
5C.InjectivcDimensions
5D.WeakDimensionsofRings
5E.GlobalDimensionsofSemiprimaryRings
5F.GlobalDimensionsofLocalRings
5G.GlobalDimensionsofCommutativeNoetherianRings
Exercisesfor5

3MoreTheoryofModules
4RingsofQuotients
5MoreRingsofQuotients
6FrobeniusandQuasi-FrobeniusRings
7MatrixRings，CategoriesofModules，andMoritaTheory
References
NameIndex
SubjectIndex