COFINITE MODULES AND GENERALIZED LOCAL COHOMOLOGY

被引：0

作者：

Mafi, Amir ^{[1
,2
]}

Saremi, Hero ^{[3
]}

机构：

[1] Arak Univ, Arak, Iran

[2] Inst Studies Theoret Phys & Math, Tehran, Iran

[3] Islamic Azad Univ Arak, Arak, Iran

来源：

HOUSTON JOURNAL OF MATHEMATICS | 2009年 / 35卷 / 04期

关键词：

Generalized local cohomology modules; Cofinite modules; 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, a an ideal of R, and M, N two finitely generated R-modules. We prove that the generalized local cohomology modules H(a)(l) (M, N) are a-cofinite; that is, Ext(R)(i) (R/a; H(a)(t)(M, N)) is finitely generated for all i, t >= 0, in the following cases: (i) cd(a) = 1, where cd is the cohomological dimension of a in R. (ii) dim R <= 2. Additionally, we show that if cd(a) = 1 then Ext(R)(i) (M; H(a)(t)(N)) is a-cofinite for all i, t >= 0.

引用

页码：1013 / 1018

页数：6

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