A note on the definition of pseudo-reversible ring | ||||
| Electronic Journal of Mathematical Analysis and Applications | ||||
| Volume 13, Issue 1, 2025, Page 1-4 PDF (1.36 MB) | ||||
| Document Type: Regular research papers | ||||
| DOI: 10.21608/ejmaa.2025.344270.1300 | ||||
 View on SCiNiTO | ||||
| Author | ||||
Muhammad Saad  
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| 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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