پنجمین سمینار جبر جا بجایی و مباحث مرتبط , 2008-12-10

Title : ( Asymptotic behaviour of certain sets of associated prime ideals of Ext-modules )

Authors: Kazem Khashyarmanesh , Fahimeh Khoshahang Ghasr ,

Citation: BibTeX | EndNote

Let R be a commutative Noetherian ring, a be an ideal of R and M be a finitely generated R-module. Melkersson and Schenzel asked whether the set AssRExti R(R/a 6 j , M) 7 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 dim(SuppRHi a 8 (M)) ≤ s 9 for all i with i < n, then (i) the set j>0 SuppRExti R R/a j , M≥s 10 is finite for all i with i < n, and (ii) the set j>0 AssRExti R R/a j , M≥s 11 is finite for all i with i ≤ n, 12 where for a subset T of Spec(R), we set (T )≥s := {p ∈ T | dim(R/p) ≥ s}. Also, among other things, we show that if n ≥ 0, R is semi-local and SuppRHi a 13 (M) is finite for all i with i < n, then j>0 AssRExti R(R/a 14 j , M) is finite for all i with i ≤ n.

Keywords

local
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@inproceedings{paperid:1009563,
author = {Khashyarmanesh, Kazem and Khoshahang Ghasr, Fahimeh},
title = {Asymptotic behaviour of certain sets of associated prime ideals of Ext-modules},
booktitle = {پنجمین سمینار جبر جا بجایی و مباحث مرتبط},
year = {2008},
location = {اصفهان, IRAN},
keywords = {local cohomology},
}

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%0 Conference Proceedings
%T Asymptotic behaviour of certain sets of associated prime ideals of Ext-modules
%A Khashyarmanesh, Kazem
%A Khoshahang Ghasr, Fahimeh
%J پنجمین سمینار جبر جا بجایی و مباحث مرتبط
%D 2008

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