A natural map in local cohomology

被引：14

作者：

Aghapournahr, Moharram ^{[1
]}

Melkersson, Leif ^{[2
]}

机构：

[1] Arak Univ, Arak, Iran

[2] Linkoping Univ, Dept Math, SE-58183 Linkoping, Sweden

来源：

ARKIV FOR MATEMATIK | 2010年 / 48卷 / 02期

关键词：

MODULES; PRIMES; COFINITENESS;

D O I：

10.1007/s11512-009-0115-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let R be a Noetherian ring, a an ideal of R, M an R-module and n a non-negative integer. In this paper we first study the finiteness properties of the kernel and the cokernel of the natural map f: Ext(R)(n) (R/alpha, M) -> Hom(R)(R/alpha, H(alpha)(n) (M)), under some conditions on the previous local cohomology modules. Then we get some corollaries about the associated primes and Artinianness of local cohomology modules. Finally we will study the asymptotic behavior of the kernel and the cokernel of the natural map in the graded case.

引用

页码：243 / 251

页数：9

共 15 条

[1] A generalization of the cofiniteness problem in local cohomology modules [J].