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math.GR2026
Right groups, left quasigroups, and right heaps
Andrea Albano, Alberto Facchini, Marzia Mazzotta +1
A right group is a semigroup in which, for every , there is a unique such that . In this article, we develop the theory of heaps starting…
math.GR2026
Right groups and the set-theoretic Yang-Baxter equation
Andrea Albano, Alberto Facchini, Marzia Mazzotta +1
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 introd…