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.
Saad, M. (2025). A note on the definition of pseudo-reversible ring. Electronic Journal of Mathematical Analysis and Applications, 13(1), 1-4. doi: 10.21608/ejmaa.2025.344270.1300
MLA
Muhammad Saad. "A note on the definition of pseudo-reversible ring", Electronic Journal of Mathematical Analysis and Applications, 13, 1, 2025, 1-4. doi: 10.21608/ejmaa.2025.344270.1300
HARVARD
Saad, M. (2025). 'A note on the definition of pseudo-reversible ring', Electronic Journal of Mathematical Analysis and Applications, 13(1), pp. 1-4. doi: 10.21608/ejmaa.2025.344270.1300
VANCOUVER
Saad, M. A note on the definition of pseudo-reversible ring. Electronic Journal of Mathematical Analysis and Applications, 2025; 13(1): 1-4. doi: 10.21608/ejmaa.2025.344270.1300