幺半群理论的同调方法（英文版）

图书标准信息

• 作者 Javed、Liu Zhongkui 著
• 出版社 科学出版社
• 出版时间 2008-01
• 版次 1
• ISBN 9787030201034
• 定价 56.00元
• 装帧 精装
• 开本 16开
• 纸张 胶版纸
• 页数 215页

【内容简介】

Thisbookoffersacomprehensivesurveyoftheareaofmonoids.ItincludesinjectiveandweaklyinjectiveS-acts，theconceptofprojectiveS-acts，somefundamentalandinterestingresultsconcerningstrongflatness，condition（P）andflatnessofS-acts，someresultsonhomologicalclassificationofmonoids，thestudyofsheavesforclassesofmonoidsandS-acts，analogoustothesheavesforclassesofringsandmodules.Thisvolumewillbeofinteresttoresearchers，graduatestudentsandscientistsofmathematics.

【目录】

Preface
Chapter1FundamentalConcepts
1.1RelationsandLattices
1.2CategoriesandFunctors
1.3BasicConceptsinSemigroups
1.4S-actsandS-homomorphisms
1.5PrimeandSemiprimeS-actsoverMonoidswithZero

Chapter2InjectiveandWeaklyInjectiveS-ActsandRelatedConcepts
2.1InjectiveS-acts
2.2WeaklyInjectiveS-acts
2.3CompletelyRightInjectiveMonoids
2.4Quasi-injectiveS-actsandCompletelyQuasi-injectiveMonoids

Chapter3RelativelyInjectiveS-actsandRelatedConcepts
3.1P-injectiveandDivisibleS-acts
3.2CharacterizationofMonoidsbyP-injectiveS-acts
3.3WeaklyRegularMonoidsandNormalS-acts
3.4HereditaryandSemihereditaryMonoids
3.5HereditaryandCohereditaryS-acts
3.6CompletelyRightFSF-injectiveMonoids

Chapter4ProjectiveS-Acts
4.1ProjectiveS-acts
4.2CompletelyRightProjectiveMonoids
4.3Quasi-projectiveS-acts
4.4（x，y）-projectiveS-acts
4.5ProductsofProjectiveS-acts
4.6ProjectiveActsoverFactorisableSemigroups

Chapter5FlatS-Acts
5.1TheFunctor
5.2FlatnessandCondition（P）
53StronglyFlatS-acts

Chapter6HomologicalClassificationofMonoidsbyFlatness
6.1StrongFlatnessofCondition（P）Acts
6.2Condition（P）PropertyofFlatActs
6.3StrongFlatnessofFlatActs
6.4RightPerfectMonoids

Chapter7SomeTopicsRelativetoFlatness
7.1vonNeumannRegularMonoids
7.2RegularityandFlatnessofActs
7.3RelativeFlatnessandStronglyFaithfulActs
7.4PurityofActs
7.5FlatnessinSPOS

Chapter8SheavesforClassesofMonoids
8.1AHistoricalIntroductionofSheafTheoryinAlgebra
8.2SheavesofvonNeumannRegularMonoidswithZero
8.3PureIdealsofaMonoidwithZero
8.4PureSpectrumofaMonoidwithZero
8.5S-acts
8.6FirstRepresentationTheorem
8.7SecondRepresentationTheorem
Bibliography
Index