Finite direct projective modules

被引：0

作者：

Gupta, Sonal ^{[1
]}

Gupta, Ashok Ji ^{[1
]}

机构：

[1] Indian Inst Technol BHU, Dept Math Sci, Varanasi 221005, India

来源：

ASIAN-EUROPEAN JOURNAL OF MATHEMATICS | 2023年 / 16卷 / 12期

关键词：

D-2-module; D-3-module; FD projective module; Rickart module; RINGS;

D O I：

10.1142/S1793557123502182

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we introduce the notion of finite direct projective modules, which is a generalization of direct projective modules; counter-example is given. We study the properties of finite direct projective modules with respect of their summands. We characterized von Neumann regular rings in terms of the endomorphism ring of finite direct projective modules. Also, we find connections among Rickart modules, D-3 modules, direct projective modules, finite direct projective modules and endoregular modules.

引用

页数：12

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