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arXiv · 2605.25660

Right groups and the set-theoretic Yang-Baxter equation

Andrea Albano·Alberto Facchini·Marzia Mazzotta·Paola Stefanelli
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Abstract

In this paper, we provide techniques to obtain left non-degenerate set-theoretic solutions of the Yang-Baxter equation, drawing on the class of right groups. To this end, we introduce the new algebraic structures of left $RG$-semibraces, which include left (cancellative) semibraces as a proper subclass.

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Andrea Albano, Alberto Facchini, Marzia Mazzotta, Paola Stefanelli. 2026-05-25. Right groups and the set-theoretic Yang-Baxter equation. https://arxiv.org/abs/2605.25660

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