On the Matlis duals of local cohomology modules |
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Authors: | Kazem Khashyarmanesh |
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Affiliation: | (1) Department of Mathematics, Ferdowsi University of Mashad, P.O. Box 1159-91775, Mashhad, Iran;(2) Institute for Studies in Theoretical Physics and Mathematics, P.O. Box 19395-5746, Tehran, Iran |
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Abstract: | Let ( ) be a commutative Noetherian local ring with non-zero identity, an ideal of R and M a finitely generated R-module with . Let D(–) := Hom R (–, E) be the Matlis dual functor, where is the injective hull of the residue field . We show that, for a positive integer n, if there exists a regular sequence and the i-th local cohomology module H i a (M) of M with respect to is zero for all i with i > n then The author was partially supported by a grant from Institute for Studies in Theoretical Physics and Mathematics (IPM) Iran (No. 85130023). Received: 9 August 2006 |
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Keywords: | 13D45 13D07 |
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