EXTENSION FUNCTORS OF LOCAL COHOMOLOGY MODULES

被引：0

作者：

Aghapournahr, M. ^{[2
]}

Taherizadeh, A. J. ^{[1
]}

Vahidi, A. ^{[3
]}

机构：

[1] Tarbiat Moallem Univ, Dept Math Sci & Comp, Tehran, Iran

[2] Arak Univ, Fac Sci, Dept Math, Arak 3815688349, Iran

[3] Payame Noor Univ, Dept Math, Tehran, Iran

来源：

BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY | 2011年 / 37卷 / 03期

关键词：

Local cohomology modules; Serre subcategories; cofinite modules; PRIMES; COFINITENESS; FINITENESS; RESPECT; IDEAL;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let R be a commutative Noetherian ring with nonzero identity, a an ideal of R, and X an R module. Here, for fixed integers 8, t and a finite a torsion R-module N, we first study the membership of Ext(R)(s+t),+t(N, X) and Ext(R)(s)(N, H-a(t)(X)) in the Serre subcategories of the category of R modules. Then, we present some conditions which ensure the existence of an isomorphism between them. Finally, we introduce the concept of the Serre cofiniteness as a generalization of cofiniteness and study this property for certain local cohomology modules.

引用

页码：117 / 134

页数：18

共 30 条

[1] Local cohomology and Serre subcategories [J].