most citedSet-theoretic solutions of the Yang-Baxter equation associated to weak braces

11 citations · 11 across the 1 of their papers we have counts for

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math.QA2021★ 11 cited

Set-theoretic solutions of the Yang-Baxter equation associated to weak braces

Francesco Catino, Marzia Mazzotta, Maria Maddalena Miccoli +1

We investigate a new algebraic structure which always gives rise to a set-theoretic solution of the Yang-Baxter equation. Specifically, a weak (left) brace is a non-empty set e…

math.QA2019

Set-theoretical solutions of the pentagon equation on groups

Francesco Catino, Marzia Mazzotta, Maria Maddalena Miccoli

Let be a set. A set-theoretical solution of the pentagon equation on is a map such that \begin{equation*} s_{23}\, s_{13}\, s_{12}=s_…