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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality 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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Edge rings satisfying Serre’s condition $(R_{1})$
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by Takayuki Hibi and Lukas Katthän PDF
Proc. Amer. Math. Soc. 142 (2014), 2537-2541 Request permission

Abstract:

A combinatorial criterion for the edge ring of a finite connected graph satisfying Serre’s condition $(R_{1})$ is studied.
References
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Additional Information
  • 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
  • Lukas Katthän
  • Affiliation: Fachbereich Mathematik und Informatik, Philipps-Universität Marburg, 35032 Marburg, Germany
  • Address at time of publication: FB Mathematik/Informatik, Universität Osnabrück, 49074 Osnabrück, Germany
  • Email: katthaen@mathematik.uni-marburg.de
  • Received by editor(s): February 23, 2012
  • Received by editor(s) in revised form: August 6, 2012
  • Published electronically: April 1, 2014
  • Additional Notes: The first author was supported by the JST CREST “Harmony of Gröbner Bases and the Modern Industrial Society”.
    This research was performed while the second author was staying at the Department of Pure and Applied Mathematics, Osaka University, November 2011 – April 2012, supported by the DAAD
  • Communicated by: Irena Peeva
  • © Copyright 2014 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 142 (2014), 2537-2541
  • MSC (2010): Primary 52B20; Secondary 13H10, 14M25
  • DOI: https://doi.org/10.1090/S0002-9939-2014-11973-3
  • MathSciNet review: 3195774