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One Hundred Problems in Commutative Ring Theory

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Non-Noetherian Commutative Ring Theory

Part of the book series: Mathematics and Its Applications ((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.

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Authors and Affiliations

  1. Department of Mathematics, Trinity University, 715 Stadium Drive, San Antonio, Texas, 78212-7200, USA

    Scott T. Chapman

  2. Department of Mathematics, The University of Connecticut, Storrs, Connecticut, 06269, USA

    Sarah Glaz

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  1. Scott T. Chapman
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  2. Sarah Glaz
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Editors and Affiliations

  1. Department of Mathematics, Trinity University, San Antonio, Texas, USA

    Scott T. Chapman

  2. Department of Mathematics, The University of Connecticut, Storrs, Connecticut, USA

    Sarah Glaz

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Chapman, S.T., Glaz, S. (2000). One Hundred Problems in Commutative Ring Theory. In: Chapman, S.T., Glaz, S. (eds) Non-Noetherian Commutative Ring Theory. Mathematics and Its Applications, vol 520. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-3180-4_21

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  • DOI: https://doi.org/10.1007/978-1-4757-3180-4_21

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