The structure monoid and algebra of a non-degenerate set-theoretic solution of the Yang-Baxter equation

Eric Jespers, Łukasz Kubat, Arne Van Antwerpen

For a finite involutive non-degenerate solution $(X,r)$ of the Yang--Baxter equation it is known that the structure monoid $M(X,r)$ is a monoid of I-type, and the structure algebra…