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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 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Buchsbaum Stanley–Reisner rings with minimal multiplicity
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by Naoki Terai and Ken-ichi Yoshida
Proc. Amer. Math. Soc. 134 (2006), 55-65
DOI: https://doi.org/10.1090/S0002-9939-05-08176-1
Published electronically: August 15, 2005

Abstract:

In this paper, we study Buchsbaum Stanley–Reisner rings with linear free resolution. We introduce the notion of Buchsbaum Stanley–Reisner rings with minimal multiplicity of initial degree $q$, which extends the notion of Buchsbaum rings with minimal multiplicity defined by Goto. As an application, we give many examples of non-Cohen–Macaulay Buchsbaum Stanley–Reisner rings with linear resolution.
References
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Bibliographic Information
  • Naoki Terai
  • Affiliation: Department of Mathematics, Faculty of Culture and Education, Saga University, Saga 840–8502, Japan
  • Email: terai@cc.saga-u.ac.jp
  • Ken-ichi Yoshida
  • Affiliation: Graduate School of Mathematics, Nagoya University, Nagoya 464–8602, Japan
  • MR Author ID: 359418
  • Email: yoshida@math.nagoya-u.ac.jp
  • Received by editor(s): August 28, 2004
  • Published electronically: August 15, 2005
  • Communicated by: Bernd Ulrich
  • © Copyright 2005 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 134 (2006), 55-65
  • MSC (2000): Primary 13F55; Secondary 13D02
  • DOI: https://doi.org/10.1090/S0002-9939-05-08176-1
  • MathSciNet review: 2170543