Right groups and the set-theoretic Yang-Baxter equation
Group Theory
2026-05-26 v1 Rings and Algebras
Abstract
In this paper, we provide techniques to obtain left non-degenerate set-theoretic solutions of the Yang-Baxter equation, drawing on the class of right groups. To this end, we introduce the new algebraic structures of left -semibraces, which include left (cancellative) semibraces as a proper subclass.
Keywords
Cite
@article{arxiv.2605.25660,
title = {Right groups and the set-theoretic Yang-Baxter equation},
author = {Andrea Albano and Alberto Facchini and Marzia Mazzotta and Paola Stefanelli},
journal= {arXiv preprint arXiv:2605.25660},
year = {2026}
}