CLASSICAL PRIMARY SUBMODULES AND DECOMPOSITION THEORY OF MODULES

被引：18

作者：

Baziar, M. ^{[1
]}

Behboodi, M. ^{[1
,2
]}

机构：

[1] Isfahan Univ Technol, Dept Math Sci, Esfahan 8415683111, Iran

[2] Inst Res Fundamental Sci IPM, Sch Math, Tehran 193955746, Iran

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2009年 / 8卷 / 03期

关键词：

Primary submodule; classical primary submodule; decomposition; RINGS;

D O I：

10.1142/S0219498809003369

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce the notion of classical primary submodules that generalizes the concept of primary ideals of commutative rings to modules. Existence and uniqueness of classical primary decompositions in finitely generated modules over one-dimensional Noetherian domains are proved.

引用

页码：351 / 362

页数：12

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