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.
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页码：1179 / 1190
页数：12
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