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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Stanley-Reisner ideals whose powers have finite length cohomologies


Authors: Shiro Goto and Yukihide Takayama
Journal: Proc. Amer. Math. Soc. 135 (2007), 2355-2364
MSC (2000): Primary 13F55; Secondary 13H10
Published electronically: March 22, 2007
MathSciNet review: 2302556
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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
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

DOI: http://dx.doi.org/10.1090/S0002-9939-07-08795-3
PII: S 0002-9939(07)08795-3
Keywords: Stanley-Reisner ideal, monomial ideal, generalized Cohen-Macaulay ring, FLC ring, local cohomology
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
Article copyright: © Copyright 2007 American Mathematical Society