幺半群理论的同调方法

刘仲奎, 著

出版社：科学出版社

年代：2008

定价：49.0

书籍简介:

本书主要讨论幺半群上S-系理论的同调方法。主要内容包括内射性及广义内射性对幺半群的刻画、投射性及广义投射性对幺半群的刻画、平坦性及其相关课题、Sheafs 理论等。除了对基础知识的介绍和相关理论的准备外，本书侧重于对国内外该领域的最新研究成果的介绍与讨论，其中有许多章节所论及的课题是国内外该领域的重要研究方向。本书可以为相关数学研究工作者提供国内外该领域的重要研究方向和最新研究成果。

书籍目录:

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

内容摘要:

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

书籍规格:

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书名	幺半群理论的同调方法站内查询相似图书
	9787030201034 如需购买下载《幺半群理论的同调方法》pdf扫描版电子书或查询更多相关信息，请直接复制isbn,搜索即可全网搜索该ISBN
出版地	北京	出版单位	科学出版社
版次	1版	印次	1
定价(元)	49.0	语种	英文
尺寸	24	装帧	平装
页数		印数

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书籍信息归属:

幺半群理论的同调方法是科学出版社于2008.出版的中图分类号为 O152.7 的主题关于半群－数学理论－英文的书籍。