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arXiv · 2501.14632

Generalizing Semi-$n$-Potent Rings

Arash Javan·Ahmad Moussavi·Peter Danchev
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Abstract

We define and explore the class of rings $R$ for which each element in $R$ is a sum of a tripotent element from $R$ and an element from the subring $\Delta(R)$ of $R$ 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).

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Arash Javan, Ahmad Moussavi, Peter Danchev. 2025-01-24. Generalizing Semi-$n$-Potent Rings. https://arxiv.org/abs/2501.14632

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