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A New Characterization of Semi-Tripotent Rings

2025/05/25 by Moussavi, Ahmad, Danchev, Peter, Javan, Arash +1
#16N40 #16S50 #16U99 #FOS: Mathematics #Representation Theory (math.RT) #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2505.19035

Abstract

We give a comprehensive study of the so-called semi-tripotent rings obtaining their new and non-trivial characterization as well as a complete description in terms of sums and products of some special elements. Particularly, we explore in-depth when a group ring is semi-tripotent. Our results somewhat supply those established by Koşan et al. in Can. Math. Bull. (2019).

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