本书是第二版环和模的范畴教材，也是一部研究生教材。本书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。

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 Rings

Chapter 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 Transformations

Chapter 6: Equivalence and Duality for Module Categories

 21.Equivalent Rings

 22.The Morita Characterizations of Equivalence

 23.Dualities

 24.Morita Dualities

Chapter 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 Rings

Chapter 8: Classical Artinian Rings

 30.Artinian Rings with Duality

 31.Injective Projective Modules

 32.Serial Rings

Bibliography

Index