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math.QA2023★ 2 cited
Deformed solutions of the Yang-Baxter equation associated to dual weak braces
Marzia Mazzotta, Bernard Rybołowicz, Paola Stefanelli
A dual weak brace is an algebraic structure including skew braces and giving rise to a set-theoretic solution of the Yang-Baxter equation. We show that…
math.RA2023★ 5 cited
Near braces and p-deformed braided groups
Anastasia Doikou, Bernard Rybolowicz
Motivated by recent findings on the derivation of parametric non-involutive solutions of the Yang-Baxter equation we reconstruct the underlying algebraic structures, called near br…