Finite Direct Projective modules

IF 0.5 Q3 MATHEMATICS

Asian-European Journal of Mathematics Pub Date : 2023-10-27 DOI:10.1142/s1793557123502182

Sonal Gupta, Ashok Ji Gupta

引用次数: 0

Abstract

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, [Formula: see text] modules, direct projective modules, finite direct projective modules and endoregular modules.

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有限直射影模

本文引入了有限直射影模的概念，它是直射影模的推广;给出了反例。研究了有限直射影模关于其和的性质。我们用有限直射影模的自同态环来刻画冯·诺伊曼正则环。此外，我们还发现了Rickart模块、[公式:见文本]模块、直接投影模块、有限直接投影模块和内正则模块之间的联系。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Asian-European Journal of Mathematics MATHEMATICS-

CiteScore

1.30

自引率

12.50%

发文量

169

期刊介绍： Asian-European Journal of Mathematics is an international journal which is devoted to original research in the field of pure and applied mathematics. The aim of the journal is to provide a medium by which new ideas can be discussed among researchers from diverse fields in mathematics. It publishes high quality research papers in the fields of contemporary pure and applied mathematics with a broad range of topics including algebra, analysis, topology, geometry, functional analysis, number theory, differential equations, operational research, combinatorics, theoretical statistics and probability, theoretical computer science and logic. Although the journal focuses on the original research articles, it also welcomes survey articles and short notes. All papers will be peer-reviewed within approximately four months.