代数学基础 目录
Preface
1. What is Algebra?
2. Fields
3. Commutative Rings
4. Homomorphisms and Ideals
5. Modules
6. Algebraic Aspects of Dimension
7. The Algebraic View of Infinitesimal Notions
8. Noncommutative Rings
9. Modules over Noncommutative Rings
10. Semisimple Modules and Rings
11. Division Algebras of Finite Rank
12. The Notion of a Group
13. Examples of Groups: Finite Groups
14. Examples of Groups: Infinite Discrete Groups
15. Examples of Groups: Lie Groups and Algebraic Groups
16. General Results of Group Theory
17. Group Representations
18. Some Applications of Groups
19. Lie Algebras and Nonassociative Algebra
20. Categories
21. Homological Algebra
22. K-theory
Comments on the Literature
References
Index of Names
Subject Index
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