A note on the definition of pseudo-reversible ring
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.
Authors
- Mohamad Naufal Mohamad Saad (ORCID: https://orcid.org/0000-0002-9770-4826)
Institutions
- Poultry Research Institute (CN)
Publication Details
- Journal
- Electronic Journal of Mathematical Analysis and Applications
- Published
- 2025-03-04
- DOI
- https://doi.org/10.21608/ejmaa.2025.344270.1300
- Primary Topic
- Rings, Modules, and Algebras
- Type
- article
- Field-Weighted Citation Impact
- 0.00