A note on the definition of pseudo-reversible ring | ||
| Electronic Journal of Mathematical Analysis and Applications | ||
| Volume 13, Issue 1, 2025, Pages 1-4 PDF (1.36 M) | ||
| Document Type: Regular research papers | ||
| DOI: 10.21608/ejmaa.2025.344270.1300 | ||
| Author | ||
| Muhammad Saad* | ||
| Fafulty of Science | ||
| 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. | ||
| Keywords | ||
| idempotent; pseudo-reversible; reversible; quasi-reversible; i-reversible | ||
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