Marzia Mazzotta

activity

20192026

most citedRota-Baxter operators on Clifford semigroups and the Yang-Baxter equation

16 citations · 46 across the 14 of their papers we have counts for

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Showing 2019Show all

2 papers · 1 filter

math.QA2019

Set-theoretical solutions of the Yang-Baxter and pentagon equations on semigroups

Francesco Catino, Marzia Mazzotta, Paola Stefanelli

The Yang-Baxter and pentagon equations are two well-known equations of Mathematical Physic. If $S$ is a set, a map $s : S \times S \to S \times S$ is said to be a set theoretical soluti…

math.QA2019

Set-theoretical solutions of the pentagon equation on groups

Francesco Catino, Marzia Mazzotta, Maria Maddalena Miccoli

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