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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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Polarization of Koszul cycles with applications to powers of edge ideals of whisker graphs
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by Jürgen Herzog, Takayuki Hibi and Ayesha Asloob Qureshi PDF
Proc. Amer. Math. Soc. 143 (2015), 2767-2778 Request permission

Abstract:

In this paper, we introduce the polarization of Koszul cycles and use it to study the depth function of powers of edge ideals of whisker graphs.
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Additional Information
  • Jürgen Herzog
  • Affiliation: Fachbereich Mathematik, Universität Duisburg-Essen, Campus Essen, 45117 Essen, Germany
  • MR Author ID: 189999
  • Email: juergen.herzog@uni-essen.de
  • Takayuki Hibi
  • Affiliation: Department of Pure and Applied Mathematics, Graduate School of Information Science and Technology, Osaka University, Toyonaka, Osaka 560-0043, Japan
  • MR Author ID: 219759
  • Email: hibi@math.sci.osaka-u.ac.jp
  • Ayesha Asloob Qureshi
  • Affiliation: The Abdus Salam International Center of Theoretical Physics, Trieste, Italy
  • 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
  • MR Author ID: 975345
  • Email: aqureshi@cr.math.sci.osaka-u.ac.jp
  • Received by editor(s): November 4, 2013
  • Received by editor(s) in revised form: January 16, 2014
  • Published electronically: March 11, 2015
  • Communicated by: Irena Peeva
  • © Copyright 2015 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 143 (2015), 2767-2778
  • MSC (2010): Primary 13C13, 13A30, 13F99, 05E40
  • DOI: https://doi.org/10.1090/S0002-9939-2015-12456-2
  • MathSciNet review: 3336602