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.

引用

页码：143 / 152

页数：10

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