Non-Noetherian Commutative Ring Theory
Commutative Ring Theory emerged as a distinct field of research in math ematics only at the beginning of the twentieth century. It is rooted in nine teenth century major works in Number Theory and Algebraic Geometry for which it provided a useful tool for proving results. From this humble origin,...
| Other Authors: | , |
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| Format: | eBook |
| Language: | English |
| Published: |
New York, NY
Springer US
2000, 2000
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| Edition: | 1st ed. 2000 |
| Series: | Mathematics and Its Applications
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- 1 GCD Domains, Gauss’ Lemma, and Contents of Polynomials
- 2 The Class Group and Local Class 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