Generalizing Semi-n-Potent Rings
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 (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 Kosan-Yildirim-Zhou in Can. Math. Bull. (2019).
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