3 papers
math.QA2019
The algebraic structure of left semi-trusses
Ilaria Colazzo, Arne Van Antwerpen
The distributive laws of ring theory are fundamental equalities in algebra. However, recently in the study of the Yang-Baxter equation, many algebraic structures with alternative "…
math.RA2018
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 of the Yang--Baxter equation it is known that the structure monoid is a monoid of I-type, and the structure algebra…
math.GR2018
Left semi-braces and solutions to the Yang-Baxter equation
Eric Jespers, Arne Van Antwerpen
Let be a set-theoretic solution of the Yang-Baxter equation on a finite set . It was proven by Gateva-Ivanova and Van den Bergh that if is non-deg…