Finiteness conditions on skew braces and solutions of the Yang-Baxter equation

Rosa Cascella, Silvia Properzi, Arne Van Antwerpen

A finite non-degenerate set-theoretic solution $(X,r)$ of the Yang-Baxter equation gives rise to a structure skew brace $B(X,r)$ that is a ${\lambda }_f$-skew brace, i.e. every element has…