On Regular Modules over Commutative Rings

被引：5
|
作者：
Hassanzadeh-Lelekaami, Dawood [1 ]
Roshan-Shekalgourabi, Hajar [1 ]
机构：
[1] Arak Univ Technol, Dept Basic Sci, POB 38135-1177, Arak, Iran
来源：
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2019年 / 42卷 / 02期
关键词：
Von Neumann regular ring; Regular module; Semisimple module; Krull's intersection theorem; Prime submodule;
D O I：
10.1007/s40840-017-0501-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we investigate the class of von Neumann regular modules over commutative rings. More precisely, we introduce a characterization of regular modules, and then, we study some properties of these modules in viewpoint of this characterization. Among other things, we show that the Nakayama's Lemma and Krull's intersection theorem hold for this class of modules. Also, some explicit expressions for submodules of regular modules are introduced.
引用
收藏
页码：569 / 583
页数：15
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