Rings whose non-invertible elements are weakly nil-clean
In regard to our recent studies of rings with (strongly, weakly) nil-clean-like properties, we explore indepth both the structural and characterization properties of those rings whose elements that are not units are weakly nil-clean. Group rings of this sort are considered and described as well. This somewhat supplies our recent results of this branch when the units are weakly nil-clean published in Punjab University Journal of Mathematics (2024).
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
- Vestnik Udmurtskogo Universiteta Matematika Mekhanika Komp yuternye Nauki
- Published
- 2025-03-20
- DOI
- https://doi.org/10.35634/vm250103
- Citations
- 1
- Primary Topic
- Rings, Modules, and Algebras
- Type
- article
- Field-Weighted Citation Impact
- 5.38