Right groups and the set-theoretic Yang-Baxter equation

Alberto Facchini; Andrea Albano; Marzia Mazzotta; Paola Stefanelli

arxiv: 2605.25660 · v1 · pith:LPOLPNKKnew · submitted 2026-05-25 · 🧮 math.GR · math.RA

Right groups and the set-theoretic Yang-Baxter equation

Andrea Albano , Alberto Facchini , Marzia Mazzotta , Paola Stefanelli This is my paper

classification 🧮 math.GR math.RA

keywords leftequationgroupsrightsemibracesset-theoreticyang-baxteralgebraic

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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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Right groups and the set-theoretic Yang-Baxter equation

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