Constructing skew bracoids via abelian maps, and solutions to the {Y}ang-{B}axter equation

Abstract

We show how one can use the skew braces constructed using abelian maps to generate families of skew bracoids as defined by Martin-Lyons and Truman. Under certain circumstances, these bracoids give right non-degenerate solutions to the Yang-Baxter equation.

arXiv comment13 pages