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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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Lyubeznik resolutions and the arithmetical rank of monomial ideals
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by Kyouko Kimura PDF
Proc. Amer. Math. Soc. 137 (2009), 3627-3635 Request permission

Abstract:

In this paper, we prove that the length of a Lyubeznik resolution of a monomial ideal gives an upper bound for the arithmetical rank of the ideal.
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Additional Information
  • Kyouko Kimura
  • Affiliation: Graduate School of Mathematics, Nagoya University, Nagoya 464-8602, Japan
  • Address at time of publication: Department of Pure and Applied Mathematics, Graduate School of Information Science and Technology, Osaka University, Toyonaka, Osaka 560-0043, Japan
  • Email: m04012w@math.nagoya-u.ac.jp, kimura@math.sci.osaka-u.ac.jp
  • Received by editor(s): December 1, 2008
  • Received by editor(s) in revised form: February 26, 2009
  • Published electronically: June 9, 2009
  • Communicated by: Bernd Ulrich
  • © Copyright 2009 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 137 (2009), 3627-3635
  • MSC (2000): Primary 13E15; Secondary 13D02
  • DOI: https://doi.org/10.1090/S0002-9939-09-09950-X
  • MathSciNet review: 2529869