Skip to content
DraconiticResearch
Search Sources API
203,234 studies31 sourcesUpdated 41 min ago
PreprintCC BY 4.0arXiv

On Reversible Rings, Their Generalization and Quasi-Idempotent Elements

Abstract

In this article, we show that the characterization of reversible rings and various other rings related to them such as i-reversible rings, semi-commutative rings and i-domains in terms of properties related to idempotent elements known in the literature can be generalized to exactly the same properties for quasi-idempotent elements.

Related

  1. Mal'cev products of rings satisfying xn≈ x and idempotent semirings
    Aifa Wang, Lili Wang
    arXivPreprintCC BY 4.0Full textAlgebra & number theoryarXiv
  2. On ∗-Reversible and Generalized ∗-Reversible Rings
    Huaxi Chen, Long Wang, Honglin Zou
    arXivPreprintarXiv licenceFull textAlgebra & number theoryarXiv
  3. Notes on Reversed Products of Two Elements in Rings
    Long Wang, Tingting Li, Yuheng Liu
    arXivPreprintarXiv licenceFull textAlgebra & number theoryarXiv
  4. Skolem-Mahler-Lech in rings of positive characteristic: a shorter proof and a multi-dimensional generalization
    Ruiwen Dong, Doron Shafrir
    arXivPreprintCC BY 4.0Full textAlgebra & number theoryarXiv
  5. A Fitting criterion for quasi-Gorenstein local rings
    Sora Miyashita
    arXivPreprintarXiv licenceFull textAlgebra & number theoryarXiv
BibTeX
@misc{lama2026reversible,
  title = {{On Reversible Rings, Their Generalization and Quasi-Idempotent Elements}},
  author = {Vivek Bhabani Lama},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.06200},
  eprint = {2610.06200},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.06200},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - On Reversible Rings, Their Generalization and Quasi-Idempotent Elements
AU  - Vivek Bhabani Lama
PY  - 2026
DA  - 2026/10/05
PB  - arXiv
DO  - 10.48550/arxiv.2610.06200
UR  - https://arxiv.org/abs/2610.06200
AB  - In this article, we show that the characterization of reversible rings and various other rings related to them such as i-reversible rings, semi-commutative rings and i-domains in terms of properties related to idempotent elements known in the literature can be generalized to exactly the same properties for quasi-idempotent elements.
ER  -