Ł. Kubat

collaborators

2 papers

math.RA2020

Set-theoretic solutions of the Pentagon Equation

Ilaria Colazzo, Eric Jespers, Lukasz Kubat

A set-theoretic solution of the Pentagon Equation on a non-empty set $S$ is a map $s : S^{2} \to S^{2}$ such that $s_{23} s_{13} s_{12} = s_{12} s_{23}$ , where $s_{12}=s\times\mathrm{id}…

math.RA2019

Factorizations of skew braces

E. Jespers, Ł. Kubat, A. Van Antwerpen +1

We introduce strong left ideals of skew braces and prove that they produce non-trivial decomposition of set-theoretic solutions of the Yang-Baxter equation. We study factorization…