正版现货 同调代数导论(第2版) J.J.罗特曼 (Joseph J.Rotman) 著世图科技 An Introduction to Homological Algebra
9787510098529
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库存5件
北京东城
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作者佚名
出版社世界图书出版公司
ISBN9787510098529
出版时间2015-01
装帧平装
货号551687546818
上书时间2024-12-24
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名称：同调代数导论(第2版) J.J.罗特曼 (Joseph J.Rotman) 著世图科技 An Introduction to Homological Algebra
作者：佚名
品相：全新
出版时间：2015-01
装订：平装
ISBN：9787510098529
出版社：世界图书出版公司
商品描述：
编辑推荐 《同调代数导论(第2版)》由世界图书出版公司北京公司出版。 作者简介 Joseph J. Rotman (J.J.罗特曼)是国际知名学者，在数学界享有盛誉。本书凝聚了作者多年科研和教学成果，适用于科研工作者、高校教师和研究生。 目录 Preface to the Second Edition How to Read This Book Chapterl Introduction 1.1 SimpliciaIHomology 1.2 Categories and Functors 1.3 Singular Homology Chapter 2 Hom and Tensor 2.1 Modules 2.2 Tensor Products 2.2.1 Adjointlsomorphisms Chapter 3 Special Modules 3.1 Projective Modules 3.2 InjectiveModules 3.3 Flat Modules 3.3.1 Purity Chapter 4 Specific Rings 4.1 Semisimple Rings 4.2 von Neumann Regular Rings 4.3 Hereditary and Dedekind Rings 4.4 Semihereditary and Prufer Rings 4.5 Quasi—Frobenius Rings 4.6 Semiperfect Rings 4.7 Localization 4.8 Polynomial Rings Chapter 5 Setting the Stage 5.1 Categorical Constructions 5.2 Limits 5.3 Adjoint Functor Theorem for Modules 5.4 Sheaves 5.4.1 Manifolds 5.4.2 Sheaf Constructions 5.5 Abelian Categories 5.5.1 Complexes Chapter6 Homology 6.1 Homology Functors 6.2 Derived Functors 6.2.1 Left Derived Functors 6.2.2 Axioms 6.2.3 Covariant Right Derived Functors 6.2.4 Contravariant Right Derived Functors 6.3 Sheaf Cohomology 6.3.1 Cech Cohomology 6.3.2 Riemann—Roch Theorem Chapter 7 Tor and Ext 7.1 Tor 7.1.1 Domains 7.1.2 Localization 7.2 Ext 7.2.1 Baer Sum 7.3 Cotorsion Groups 7.4 Universal Coefficients Chapter 8 Homology and Rings 8.1 Dimensions ofRings 8.2 Hilbert's Syzygy Theorem 8.3 Stably Free Modules 8.4 Commutative Noetherian Local Rings Chapter 9 Homology and Groups 9.1 Group Extensions 9.1.1 Semidirect Products 9.1.2 General Extensions and Cohomology 9.1.3 Stabilizing Automorphisms 9.2 Group Cohomology 9.3 Bar Resolutions 9.4 Group Homology 9.4.1 Schur Multiplier 9.5 Change of Groups 9.5.1 Restriction and Inflation 9.6 Transfer 9.7 Tate Groups 9.8 Outer Automorphisms of p—Groups 9.9 Cohomological Dimension 9.10 Division Rings and Brauer Groups Chapter 10 Spectral Sequences 10.1 Bicomplexes 10.2 Filtrations and Exact Couples 10.3 Convergence 10.4 Homology of the Total Complex 10.5 Cartan—Eilenberg Resolutions 10.6 Grothendieck Spectral Sequences 10.7 Groups 10.8 Rings 10.9 Sheaves 10.10 Kunneth Theorems References Special Notation Index '
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