A New Characterization of Semi-Tripotent Rings

Abstract

We give a comprehensive study of the so-called \textit{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 Ko$\stackrel{\backslash c}{s}$an et al. in Can. Math. Bull. (2019).

arXiv comment15 pages