FINITE-DIRECT-INJECTIVE MODULES

被引：3
|
作者：
Maurya, S. K. [1 ]
Gupta, A. J. [1 ]
机构：
[1] IIT BHU Varanasi, Dept Math Sci, Varanasi 221005, Uttar Pradesh, India
来源：
INTERNATIONAL ELECTRONIC JOURNAL OF ALGEBRA | 2018年 / 23卷
关键词：
C2-module; C3-module; finite-direct-injective module; regular ring;
D O I：
10.24330/ieja.373656
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we generalize the concept of direct-injective modules to finite-direct-injective modules. Various basic properties of these modules are studied. We show that the class of finite-direct-injective modules lies between the class of direct-injective modules and the class of simple-direct-injective modules. Also, we characterize semisimple artinian rings, V-rings and regular rings in terms of finite-direct-injective modules.
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页码：143 / 152
页数：10
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