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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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Multiplier ideals and integral closure of monomial ideals: An analytic approach
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by Jeffery D. McNeal and Yunus E. Zeytuncu PDF
Proc. Amer. Math. Soc. 140 (2012), 1483-1493 Request permission

Abstract:

Proofs of two results about a monomial ideal – describing membership in auxiliary ideals associated to the monomial ideal – are given which do not invoke resolution of singularities. The AM–GM inequality is used as a substitute for taking a log resolution of the monomial ideal.
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Additional Information
  • Jeffery D. McNeal
  • Affiliation: Department of Mathematics, The Ohio State University, Columbus, Ohio 43210
  • MR Author ID: 267191
  • Email: mcneal@math.ohio-state.edu
  • Yunus E. Zeytuncu
  • Affiliation: Department of Mathematics, Texas A&M University, College Station, Texas 77843
  • MR Author ID: 796075
  • Email: zeytuncu@math.tamu.edu
  • Received by editor(s): October 22, 2009
  • Received by editor(s) in revised form: January 11, 2011
  • Published electronically: August 22, 2011
  • Additional Notes: Research of both authors was partially supported by NSF grants
  • Communicated by: Ted Chinburg
  • © Copyright 2011 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 140 (2012), 1483-1493
  • MSC (2010): Primary 13P99, 14Q99, 32S45; Secondary 14M25, 13B22
  • DOI: https://doi.org/10.1090/S0002-9939-2011-11187-0
  • MathSciNet review: 2869133