Associated primes and cofiniteness of local cohomology modules |
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Authors: | Mohammad T Dibaei Siamak Yassemi |
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Institution: | (1) Institute for Studies in Theoretical Physics and Mathematics, Tehran, Iran;(2) Department of Mathematics, Teacher Training University, Tehran, Iran;(3) Department of Mathematics, University of Tehran, Tehran, Iran |
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Abstract: | Let be an ideal of Noetherian ring R and let s be a non-negative integer. Let M be an R-module such that is finite R-module. If s is the first integer such that the local cohomology module is non -cofinite, then we show that is finite. In particular, the set of associated primes of is finite. Let be a local Noetherian ring and let M be a finite R-module. We study the last integer n such that the local cohomology module is not -cofinite and show that n just depends on the support of M.The research of the first author was supported in part by a grant from IPM (No. 83130114).The second author was supported by a grant from University of Tehran (No. 6103023/1/01). |
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Keywords: | 13D45 13D22 13D25 13D05 |
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