环和模的范畴第2版
出版时间：2004-1 出版社：世界图书出版公司 作者：KentR.Fuller 页数：376
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内容概要
本书是一部研究生教材。作者采用范畴理论而不是算术方式论述环与模的基本理论，内容从环、模、同态、直接和、拟合条件等基本知识一直延伸到Wedderburn-Artin定理、Jacobson根基、张量函数、Morita等价和对偶、内射模和射影模的分解论、半完备环和完环，以及同类书很少论及的同调论、商环和交换环等课题，本版新增内容为阿廷环的经典结果。
作者简介
GTM13
书籍目录
Preface O. Preliminaries Chapter 1: Rinos， Modules and Homomorphisms 1. Review of Rings and their Homomorphisms 2. Modules and Submodules 3. Homomorphisms of Modules 4. Categories of Modules； Endomorphism Rings Chapter 2: Direct Sums and Products 5. Direct Summands 6. Direct Sums and Products of Modules 7. Decomposition of Rings 8. Generating and Cogenerating Chapter 3: Finiteness Conditions for Modules 9. Semisimple Modules--The Socle and the Radical 10. Finitely Generated and Finitely Cogenerated Modules-Chain Conditions 11. Modules with Composition Series 12. Indecomposable Decompositions of Modules Chapter 4: Classical Ring-Structure Theorems 13. Semisimple Rings 14. The Density Theorem 15. The Radical of a Ring-Local Rings and Artinian RingsChapter 5: Functors Between Module Categories 16.The Hom Functors and Exactness-Projectivity and Injectivity 17.Projective Modules and Generators 18.Injective Modules and Cogenerators 19.The Tensor Functors and Flat Modules 20.Natural TransformationsChapter 6: Equivalence and Duality for Module Categories 21.Equivalent Rings 22.The Morita Characterizations of Equivalence 23.Dualities 24.Morita DualitiesChapter 7: Injective Modules,Projective Modules,and Their Decompositions 25.Injective Modules and Noetherian Rings-The Faith-Walker Theorems 26.Direct Sums of Countably Generated Modules-With Local Endomorphism Rings 27.Semiperfect Rings 28.Perfect Rings 29.Modules with Perfect Endomorphism RingsChapter 8: Classical Artinian Rings 30.Artinian Rings with Duality 31.Injective Projective Modules 32.Serial RingsBibliographyIndex
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用户评论 (总计5条)
- 特点为：要求的预备知识少，讨论比较彻底，在不运用同调工具下将环模理论进行得相当出色，读完对基本的表示论的一些概念会有一个较清晰的了解
- 内容比较好，但是印刷有点问题。
- 好书，有点儿难，适合花时间研究
- 书的质量还是不错的
- 送货很及时，希望以后继续合作。