Stanley-Reisner ideals whose powers have finite length cohomologies

Goto, Shiro; Takayama, Yukihide

doi:10.1090/S0002-9939-07-08795-3

Stanley-Reisner ideals whose powers have finite length cohomologies
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by Shiro Goto and Yukihide Takayama

Proc. Amer. Math. Soc. 135 (2007), 2355-2364

DOI: https://doi.org/10.1090/S0002-9939-07-08795-3

Published electronically: March 22, 2007

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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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