Asymptotic behaviour of certain sets of associated prime ideals of Ext-modules |
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Authors: | K Khashyarmanesh F Khosh-Ahang |
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Institution: | (1) Department of Mathematics, Ferdowsi University of Mashhad, 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 R be a commutative Noetherian ring, be an ideal of R and M be a finitely generated R-module. Melkersson and Schenzel asked whether the set becomes stable for a fixed integer i and sufficiently large j. This paper is concerned with this question. In fact, we prove that if s ≥ 0 and n ≥ 0 such that for all i with i < n, then is finite for all i with i < n, and is finite for all i with i ≤ n, where for a subset T of Spec(R), we set . Also, among other things, we show that if n ≥ 0, R is semi-local and is finite for all i with i < n, then is finite for all i with i ≤ n.
K. Khashyarmanesh was partially supported by a grant from Institute for Studies in Theoretical Physics and Mathematics (IPM)
Iran (No. 86130027). |
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Keywords: | 13D45 13E05 |
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