Rings and Categories of Modules / F.W. Anderson, K.R. Fuller
Language: English
Published by New York, NY : Springer New York : Imprint: Springer, 1974
- First Edition
- Softcover
- Used
Condition: Used
£ 64.46
Quantity: 1 available
Add to basketItem description from seller
Near fine paperback copy; edges very slightly dulled. Remains particularly well-preserved overall; tight, bright, clean and especially sharp-cornered. Physical description; 339 pp. Contents; Preliminaries -- 1: Rings, Modules and Homomorphisms -- §1. Review of Rings and Their Homomorphisms -- §2. Modules and Submodules -- §3. Homomorphisms of Modules -- §4. Categories of Modules; Endomorphism Rings -- 2: Direct Sums and Products -- §5. Direct Summands -- §6. Direct Sums and Products of Modules -- §7. Decomposition of Rings -- §8. Generating and Cogenerating -- 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 -- 4: Classical Ring-Structure Theorems -- §13. Semisimple Rings -- §14. The Density Theorem -- §15. The Radical of a Ring—Local Rings and Artinian Rings -- 5: Functions 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 -- 6: Equivalence and Duality for Module Categories -- §21. Equivalent Rings -- §22. The Morita Characterizations of Equivalence -- §23. Dualities -- §24. Morita Dualities -- 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. Subjects; Algebra. Physics. Modules (Algebra). Rings (Algebra). Physics. Mathematics. 1 Kg.…
Seller Inventory # 397001
- Title
- Rings and Categories of Modules / F.W. Anderson, K.R. Fuller
- Author
- Anderson, F.W. Fuller, K.R.
- Publisher
- New York, NY : Springer New York : Imprint: Springer
- Publication year
- 1974
- Binding
- Soft cover
- Language
- English
- ISBN 10
- 3540900705
- ISBN 13
- 9783540900702
- Edition
- 1st edition.
- Item weight
- 1 kilogram
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