Associated primes of local cohomology modules

被引:96
作者
Divaani-Aazar, K
Mafi, A
机构
[1] Az Zahra Univ Vanak, Dept Math, Tehran, Iran
[2] Inst Studies Theoret Phys & Math, Tehran, Iran
[3] Univ Teacher Educ, Inst Math, Tehran 15614, Iran
关键词
local cohomology; associated prime ideals; cofiniteness; weakly Laskerian modules; spectral sequences;
D O I
10.1090/S0002-9939-04-07728-7
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Let a be an ideal of a commutative Noetherian ring R and M a finitely generated R-module. Let t be a natural integer. It is shown that there is a finite subset X of Spec R, such that Ass(R)(H-a(t)(M)) is contained in X union with the union of the sets Ass(R)(Ext(R)(j)(R/a, H-a(i)(M))), where 0 less than or equal to i < t and 0 <= j <= t(2) + 1. As an immediate consequence, we deduce that the first non-a-cofinite local cohomology module of M with respect to a has only finitely many associated prime ideals.
引用
收藏
页码:655 / 660
页数:6
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