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arXiv · 2505.19035

A New Characterization of Semi-Tripotent Rings

Ahmad Moussavi·Peter Danchev·Arash Javan·Omid Hasanzadeh
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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$\c{s}$an et al. in Can. Math. Bull. (2019).

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Ahmad Moussavi, Peter Danchev, Arash Javan, Omid Hasanzadeh. 2025-05-25. A New Characterization of Semi-Tripotent Rings. https://arxiv.org/abs/2505.19035

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