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A term of commutative algebra

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Author(s): Allen Altman, Steven Kleiman
Edition: 13Ed1
Year: 2013

Language: English
Pages: 266
Tags: commutative algebra

1. Rings and Ideals
2. Prime Ideals
3. Radicals
4. Modules
5. Exact Sequences
6. Direct Limits
7. Filtered Direct Limits
8. Tensor Products
9. Flatness
10. Cayley-Hamilton Theorem
11. Localization of Rings
12. Localization of Modules
13. Support
14. Krull-Cohen-Seidenberg Theory
15. Noether Normalization
16. Chain Conditions
17. Associated Primes
18. Primary Decomposition
19. Length
20. Hilbert Functions
21. Dimension
22. Completion
23. Discrete Valuation Rings
24. Dedekind Domains
25. Fractional Ideals
26. Arbitrary Valuation Rings