Non-Noetherian Commutative Ring Theory

Table of Contents

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   Book Overview
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   Chapter 1 GCD Domains, Gauss’ Lemma, and Contents of Polynomials
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   Chapter 2 The Class Group and Local Class Group of an Integral Domain
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   Chapter 3 Mori Domains
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   Chapter 4 What’s New About Integer-Valued Polynomials on a Subset?
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   Chapter 5 Half-Factorial Domains, a Survey
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   Chapter 6 On Generalized Lengths of Factorizations in Dedekind and Krull Domains
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   Chapter 7 Recent Progress on Going-Down I
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   Chapter 8 Localizing Systems and Semistar Operations
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    Chapter 9 Ideal Theory in Pullbacks
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    Chapter 10 Commutative Rings of Dimension 0
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    Chapter 11 Finite Conductor Rings with Zero Divisors
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    Chapter 12 Construction of Ideal Systems with Nice Noetherian Properties
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    Chapter 13 Generalized Local Rings and Finite Generation of Powers of Ideals
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    Chapter 14 Connecting Trace Properties
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    Chapter 15 Constructing Examples of Integral Domains by Intersecting Valuation Domains
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    Chapter 16 Examples Built with D+M, A+XB[X] and other Pullback Constructions
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    Chapter 17 T-Closedness
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    Chapter 18 E-Rings and Related Structures
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    Chapter 19 Prime Ideals and Decompositions of Modules
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    Chapter 20 Putting T-Invertibility to Use
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    Chapter 21 One Hundred Problems in Commutative Ring Theory