出版社：科学出版社
年代：2008
定价：49.0
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。
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
Thisbookoffersacomprehensivesurveyoftheareaofmonoids.ItincludesinjectiveandweaklyinjectiveS-acts,theconceptofprojectiveS-acts,somefundamentalandinterestingresultsconcerningstrongflatness,condition(P)andflatnessofS-acts,someresultsonhomologicalclassificationofmonoids,thestudyofsheavesforclassesofmonoidsandS-acts,analogoustothesheavesforclassesofringsandmodules.Thisvolumewillbeofinteresttoresearchers,graduatestudentsandscientistsofmathematics.
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| 书名 | 幺半群理论的同调方法站内查询相似图书 | ||
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| 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 | ||
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。