Finiteness of Local Cohomology Modules Defined by a Pair of Ideals

被引：9

作者：

Payrovi, Sh ^{[1
]}

Parsa, M. Lotfi ^{[1
]}

机构：

[1] Imam Khomeini Int Univ, Dept Math, Qazvin, Iran

来源：

COMMUNICATIONS IN ALGEBRA | 2013年 / 41卷 / 02期

关键词：

Artinian module; Cofinite module; Local cohomology; Noetherian module; 13D45; 13E05; 13E10; COFINITENESS; ARTINIANNESS; RESPECT;

D O I：

10.1080/00927872.2011.631206

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let R be a Noetherian ring and I, J two ideals of R. Let M be a ZD-module such that Hom R (R/I, M/L) is finitely generated for any submodule L of M. It is shown that if t is an integer such that is minimax for all i<t, then is finitely generated. Let M be a finitely generated R-module such that dim R M=n. It is proved that (1) has finite length; (2) if R is local with dimR/I+J=0 and dim R M/JM=d>0, then is not finitely generated.

引用

页码：627 / 637

页数：11

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