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