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One Hundred Problems in Commutative Ring Theory

  • Scott T. Chapman
  • Sarah Glaz
Part of the Mathematics and Its Applications book series (MAIA, volume 520)

Abstract

This article consists of a collection of problems in Commutative Ring Theory sent to us, in response to our request, by the authors of articles in this volume. It also includes our contribution of a fair number of unsolved problems. Some of these one hundred problems already appear in other articles of this volume; some are related to the topics but do not appear in another article; yet others are problems unrelated to any of the articles, but that the authors consider of importance. For all problems, we gave a few useful references, which will lead readers to other relevant references. There is no attempt to be encyclopedic. We added definitions and clarifying comments to make the problems more self contained, but, as a rule, if undefined notions are used the reader can find the relevant definitions in the cited references. Finally, this is an article whose purpose is to generate many more articles. We hope the problems posed here will keep researchers busy for many years, and would appreciate very much being sent preprints of their solutions.

Keywords

Prime Ideal Polynomial Ring Finite Abelian Group Dedekind Domain Mori Domain 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media Dordrecht 2000

Authors and Affiliations

  • Scott T. Chapman
    • 1
  • Sarah Glaz
    • 2
  1. 1.Department of MathematicsTrinity UniversitySan AntonioUSA
  2. 2.Department of MathematicsThe University of ConnecticutStorrsUSA

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