Overview

This volume consists of 21 articles by many of the most prominent researchers in non-Noetherian commutative ring theory. The articles combine, in various degrees, surveys of past results, recent results that have never before seen print, open problems, and an extensive bibliography. The concluding chapter collects 100 open problems supplied by the authors.The entire collection provides a comprehensive survey of the development of the field since the 1990s and points to future directions of research in the area.

Full Product Details

Author:   S.T. Chapman ,  Sarah Glaz
Publisher:   Springer
Imprint:   Springer
Edition:   2000 ed.
Volume:   520
Dimensions:   Width: 15.50cm , Height: 2.60cm , Length: 23.50cm
Weight:   1.910kg
ISBN:  

9780792364924

ISBN 10:   0792364929
Pages:   480
Publication Date:   31 October 2000
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Out of print, replaced by POD  
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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.

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