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math.QA2025
Generalized digroups, di-skew braces, and solutions of the set-theoretic Yang-Baxter equation
Andrea Albano, Paola Stefanelli
We introduce a novel algebraic structure called di-skew brace by which we show that generalized digroups systematically yield bijective, non-degenerate solutions to the set-theoret…
math.QA2024★ 2 cited
Reflections to set-theoretic solutions of the Yang-Baxter equation
Andrea Albano, Marzia Mazzotta, Paola Stefanelli
The main aim of this paper is to determine reflections to bijective and non-degenerate solutions of the Yang-Baxter equation, by exploring their connections with their derived solu…