Generalizing Semi-$n$-Potent Rings
Rings and Algebras
2025-01-27 v1 Representation Theory
Abstract
We define and explore the class of rings for which each element in is a sum of a tripotent element from and an element from the subring of which commute each other. Succeeding to obtain a complete description of these rings modulo their Jacobson radical as the direct product of a Boolean ring and a Yaqub ring, our results somewhat generalize those established by Ko\c{s}an-Yildirim-Zhou in Can. Math. Bull. (2019).
Cite
@article{arxiv.2501.14632,
title = {Generalizing Semi-$n$-Potent Rings},
author = {Arash Javan and Ahmad Moussavi and Peter Danchev},
journal= {arXiv preprint arXiv:2501.14632},
year = {2025}
}
Comments
18 pages