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Stanley-Reisner ideals whose powers have finite length cohomologies
Author(s):
Shiro
Goto;
Yukihide
Takayama
Journal:
Proc. Amer. Math. Soc.
135
(2007),
2355-2364.
MSC (2000):
Primary 13F55;
Secondary 13H10
Posted:
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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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:
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
Posted:
March 22, 2007
Communicated by:
Bernd Ulrich
Copyright of article:
Copyright
2007,
American Mathematical Society
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