UNIQUENESS OF GRADED PRIMARY DECOMPOSITION OF MODULES GRADED OVER FINITELY GENERATED ABELIAN GROUPS

被引：3

作者：

Kumar, Shiv Datt ^{[1
]}

Behara, Srinivas ^{[1
]}

机构：

[1] Motilal Nehru Natl Inst Technol, Dept Math, Allahabad 211004, Uttar Pradesh, India

来源：

COMMUNICATIONS IN ALGEBRA | 2011年 / 39卷 / 07期

关键词：

Graded module; Graded primary decomposition; Noetherian ring;

D O I：

10.1080/00927872.2010.493543

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let A be a commutative Noetherian ring which is graded by a finitely generated Abelian group G. In this article, we introduce G-graded primary submodules and G-graded P-primary submodules, and establish the uniqueness of G-graded primary decomposition. We also give a new proof on existence of G-primary decomposition.

引用

页码：2607 / 2614

页数：8

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