Marzia Mazzotta

collaborators

4 papers

math.QA2025

Quasi racks, quasi bijective and quasi non-degenerate set-theoretic solutions of the Yang-Baxter equation

Marzia Mazzotta, Paola Stefanelli, Magdalena Wiertel

This work initiates a systematic study of the class of quasi bijective and quasi non-degenerate solutions to the set-theoretic Yang-Baxter equation. The motivation stems from the o…

math.RA2025

Associative Pentagon Algebras

Marzia Mazzotta, Agata Pilitowska

A set-theoretic solution to the Pentagon Equation can be described as a \emph{pentagon} algebra $(S, \cdot, *)$ such that $(S, \cdot)$ is a semigroup and the operations $\cdot$ …

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_…