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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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Stanley-Reisner ideals whose powers have finite length cohomologies
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by Shiro Goto and Yukihide Takayama PDF
Proc. Amer. Math. Soc. 135 (2007), 2355-2364 Request permission

Abstract:

We introduce a class of Stanley-Reisner ideals called a generalized complete intersection, which is characterized by the property that all the residue class rings of powers of the ideal have FLC. We also give a combinatorial characterization of such ideals.
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Additional Information
  • Shiro Goto
  • Affiliation: Department of Mathematics, School of Science and Technology, Meiji University, 214-8571, Japan
  • MR Author ID: 192104
  • Email: goto@math.meiji.ac.jp
  • Yukihide Takayama
  • Affiliation: Department of Mathematical Sciences, Ritsumeikan University, 1-1-1 Nojihigashi, Kusatsu, Shiga 525-8577, Japan
  • Email: takayama@se.ritsumei.ac.jp
  • Received by editor(s): January 11, 2006
  • Received by editor(s) in revised form: April 13, 2006
  • Published electronically: March 22, 2007
  • Communicated by: Bernd Ulrich
  • © Copyright 2007 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 135 (2007), 2355-2364
  • MSC (2000): Primary 13F55; Secondary 13H10
  • DOI: https://doi.org/10.1090/S0002-9939-07-08795-3
  • MathSciNet review: 2302556