2025/01/24 by Arash Javan, Javan, Arash, A. Moussavi +3
Mathematics · #Rings, Modules, and Algebras #Advanced Topics in Algebra
paper · pdf · doi:10.48550/arxiv.2501.14632
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 Δ(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 Koşan-Yildirim-Zhou in Can. Math. Bull. (2019).