This paper reveals a new characterization of semi-tripotent rings, exploring their properties in group rings.
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 Kosan et al. in Can. Math. Bull. (2019).
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Moussavi et al. (2025) studied this question.
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