Non-Noetherian commutative ring theory /
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| Imprint: | Dordrecht ; Boston : Kluwer Academic Publishers, c2000. |
|---|---|
| Description: | x, 479 p. ; 25 cm. |
| Language: | English |
| Series: | Mathematics and its applications ; v. 520 Mathematics and its applications (Kluwer Academic Publishers) ; v. 520. |
| Subject: | |
| Format: | Print Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/4384897 |
Table of Contents:
- Preface
- 1. GCD Domains, Gauss' Lemma, and Contents of Polynomials
- 2. The Class Group and Local Glass Group of an Integral Domain
- 3. Mori Domains
- 4. What's New About Integer-Valued Polynomials on a Subset?
- 5. Half-Factorial Domains, a Survey
- 6. On Generalized Lengths of Factorizations in Dedekind and Krull Domains
- 7. Recent Progress on Going-Down I
- 8. Localizing Systems and Semistar Operations
- 9. Ideal Theory in Pullbacks
- 10. Commutative Rings of Dimension 0
- 11. Finite Conductor Rings with Zero Divisors
- 12. Construction of Ideal Systems with Nice Noetherian Properties
- 13. Generalized Local Rings and Finite Generation of Powers of Ideals
- 14. Connecting Trace Properties
- 15. Constructing Examples of Integral Domains by Intersecting Valuation Domains
- 16. Examples Built with D+M, A+XB[X] and Other Pullback Constructions
- 17. T-Closedness
- 18. E-rings and Related Structures
- 19. Prime Ideals and Decompositions of Modules
- 20. Putting t-Invertibility to Use
- 21. One Hundred Problems in Commutative Ring Theory
- Index
