The f-depth of an ideal on a module

被引：34

作者：

Lü, RC ^{[1
]}

Tang, ZM ^{[1
]}

机构：

[1] Suzhou Univ, Dept Math, Suzhou 215006, Peoples R China

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2002年 / 130卷 / 07期

关键词：

f-depth; f-modules; local cohomology modules;

D O I：

10.1090/S0002-9939-01-06269-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let I be an ideal of a Noetherian local ring R and M a finitely generated R-module. The f-depth of I on M is the least integer r such that the local cohomology module H-I(r) (M) is not Artinian. This paper presents some part of the theory of f-depth including characterizations of f-depth and a relation between f-depth and f-modules.

引用

页码：1905 / 1912

页数：8