A new characterization of semi-tripotent rings
We give a comprehensive study of the so-called semi-tripotent rings obtaining their new and nontrivial characterization as well as a complete description in terms of sums and products of some special elements. Particularly, we explore in-depth when a group ring is semi-tripotent. Our results somewhat supply those established by Koşan et al. [Rings whose elements are the sum of a tripotent and an element from the Jacobson radical, Can. Math. Bull. 62(4) (2019) 810–821.
Authors
- Peter Danchev (ORCID: https://orcid.org/0000-0002-2016-2336)
- Arash Javan (ORCID: https://orcid.org/0009-0005-4071-6980)
- Omid Hasanzadeh (ORCID: https://orcid.org/0009-0006-1414-4963)
- A. Moussavi (ORCID: https://orcid.org/0000-0002-7775-9782)
Institutions
- Tarbiat Modares University (IR)
- Bulgarian Academy of Sciences (BG)
- Institute of Mathematics and Informatics (BG)
Publication Details
- Journal
- Journal of Algebra and Its Applications
- Published
- 2025-09-22
- DOI
- https://doi.org/10.1142/s0219498827500484
- Primary Topic
- Advanced Topics in Algebra
- Type
- article
- Field-Weighted Citation Impact
- 0.00