On the annihilators and attached primes of top local cohomology modules

被引：22

作者：

Atazadeh, Ali ^{[1
]}

Sedghi, Monireh ^{[1
]}

Naghipour, Reza ^{[2
,3
]}

机构：

[1] Azarbaijan Shahid Madani Univ, Dept Math, Tabriz, Iran

[2] Univ Tabriz, Dept Math, Tabriz, Iran

[3] Inst Res Fundamental Sci IPM, Sch Math, Tehran, Iran

来源：

ARCHIV DER MATHEMATIK | 2014年 / 102卷 / 03期

关键词：

Annihilator; Attached primes; Cohomological dimension; Local cohomology;

D O I：

10.1007/s00013-014-0629-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let be an ideal of a commutative Noetherian ring R and M a finitely generated R-module. It is shown that , where is the largest submodule of M such that . Several applications of this result are given. Among other things, it is shown that there exists an ideal of R such that . Using this, we show that if , then These generalize the main results of Bahmanpour et al. (see [2, Theorem 2.6]), Hellus (see [7, Theorem 2.3]), and Lynch (see [10, Theorem 2.4]).

引用

页码：225 / 236

页数：12

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