415601

A note on the definition of pseudo-reversible ring

Article

Last updated: 09 Mar 2025

Subjects

-

Tags

Functional analysis

Abstract

This paper examines the concept of pseudo-reversible rings, introduced by Huang et al., as a generalization of reversible rings. We establish that pseudo-reversible rings are precisely the union of reversible rings and rings with trivial idempotents. Furthermore, we demonstrate that the results presented in the literature on pseudo-reversible rings are not novel but are direct derivations from established results on reversible rings and rings with trivial idempotents.

This paper examines the concept of pseudo-reversible rings, introduced by Huang et al., as a generalization of reversible rings. We establish that pseudo-reversible rings are precisely the union of reversible rings and rings with trivial idempotents. Furthermore, we demonstrate that the results presented in the literature on pseudo-reversible rings are not novel but are direct derivations from established results on reversible rings and rings with trivial idempotents.

This paper examines the concept of pseudo-reversible rings, introduced by Huang et al., as a generalization of reversible rings. We establish that pseudo-reversible rings are precisely the union of reversible rings and rings with trivial idempotents. Furthermore, we demonstrate that the results presented in the literature on pseudo-reversible rings are not novel but are direct derivations from established results on reversible rings and rings with trivial idempotents.

DOI

10.21608/ejmaa.2025.344270.1300

Keywords

idempotent, pseudo-reversible, reversible, quasi-reversible, i-reversible

Authors

First Name

Muhammad

Last Name

Saad

MiddleName

-

Affiliation

Fafulty of Science

Email

m.saad@alexu.edu.eg

City

-

Orcid

0000-0001-6208-069X

Volume

13

Article Issue

1

Related Issue

51150

Issue Date

2025-01-01

Receive Date

2024-12-13

Publish Date

2025-03-04

Page Start

1

Page End

4

Print ISSN

3009-6731

Online ISSN

2090-729X

Link

https://ejmaa.journals.ekb.eg/article_415601.html

Detail API

http://journals.ekb.eg?_action=service&article_code=415601

Order

415,601

Type

Regular research papers

Type Code

2,651

Publication Type

Journal

Publication Title

Electronic Journal of Mathematical Analysis and Applications

Publication Link

https://ejmaa.journals.ekb.eg/

MainTitle

A note on the definition of pseudo-reversible ring

Details

Type

Article

Created At

09 Mar 2025