Decomposition of Finitely Generated Modules Using Fitting Ideals

被引：4

作者：

Hadjirezaei, Somayeh ^{[1
]}

Hedayat, Sina ^{[2
]}

机构：

[1] Vali e Asr Univ Rafsanjan, Dept Math, POB 7718897111, Rafsanjan, Iran

[2] Shahid Bahonar Univ Kerman, Dept Pure Math, Kerman 7616914111, Iran

来源：

CZECHOSLOVAK MATHEMATICAL JOURNAL | 2020年 / 70卷 / 04期

关键词：

Fitting ideal; torsion submodule; regular element;

D O I：

10.21136/CMJ.2020.0350-19

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let R be a commutative Noetherian ring and M be a finitely generated R-module. The main result of this paper is to characterize modules whose first nonzero Fitting ideal is a product of maximal ideals of R, in some cases.

引用

页码：1179 / 1190

页数：12

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