COHEN-MACAULAYNESS WITH RESPECT TO SERRE CLASSES

被引：3

作者：

Asgharzadeh, Mohsen ^{[1
]}

Tousi, Massoud ^{[1
,2
,3
]}

机构：

[1] Shahid Beheshti Univ GC, Dept Math, Tehran, Iran

[2] IPM, Sch Math, Tehran, Iran

[3] IPM, Inst Res Fundamental Sci, Tehran, Iran

来源：

ILLINOIS JOURNAL OF MATHEMATICS | 2009年 / 53卷 / 01期

关键词：

LOCAL COHOMOLOGY MODULES; PRIMES; ANNIHILATORS; FINITENESS; IDEAL;

D O I：

10.1215/ijm/1264170839

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let R be a commutative Noetherian ring. The notion of regular sequences with respect to a Serre class of R-modules is introduced and some of their essential properties are given. Then in the local case, we explore a theory of Cohen-Macaulayness with respect to Serre classes.

引用

页码：67 / 85

页数：19

共 21 条

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