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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Tightly closed ideals of small type
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by Adela Vraciu PDF
Proc. Amer. Math. Soc. 132 (2004), 341-346 Request permission

Abstract:

We study the smallest possible type of tightly closed ideals that are cofinal with the powers of the maximal ideal; this numerical invariant yields information about the tight closure of arbitrary ideals in the ring.
References
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Additional Information
  • Adela Vraciu
  • Affiliation: Department of Mathematics, University of Kansas, Lawrence, Kansas 66045
  • Address at time of publication: Department of Mathematics, University of South Carolina, Columbia, South Carolina 29208
  • MR Author ID: 663506
  • Email: avraciu@math.ukans.edu, vraciu@math.sc.edu
  • Received by editor(s): July 8, 2002
  • Received by editor(s) in revised form: October 9, 2002
  • Published electronically: September 5, 2003
  • Communicated by: Bernd Ulrich
  • © Copyright 2003 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 132 (2004), 341-346
  • MSC (2000): Primary 13A35
  • DOI: https://doi.org/10.1090/S0002-9939-03-07085-0
  • MathSciNet review: 2022354