On the associated primes of Matlis duals of top local cohomology modules

被引：16

作者：

Hellus, M ^{[1
]}

机构：

[1] Univ Leipzig, Inst Math, Fak Math & Informat, D-04019 Leipzig, Germany

来源：

COMMUNICATIONS IN ALGEBRA | 2005年 / 33卷 / 11期

关键词：

associated primes; local cohomology; Matlis duality; regular sequences;

D O I：

10.1080/00927870500261314

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

After motivating the question, we prove various results about the set of associated primes of Matlis duals of top local cohomology modules. In some cases, we can calculate this set. An easy application of this theory is the well-known fact that Krull dimension can be expressed by the vanishing of local cohomology modules.

引用

页码：3997 / 4009

页数：13

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