3 papers
math.GR2026
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 of the Yang-Baxter equation gives rise to a structure skew brace that is a -skew brace, i.e. every element has…
math.RA2025
L-algebras and their ideals: from simplicity to semidirect products
Silvia Properzi, Yufei Qin
In this paper, we investigate the ideals of semidirect products of L-algebras and the structure of simple L-algebras. We provide a precise characterization of the ideals of semidir…
math.GR2024
On Dehornoy's representation for the Yang-Baxter equation
Carsten Dietzel, Edouard Feingesicht, Silvia Properzi
This article investigates Dehornoy's monomial representations for structure groups and Coxeter-like groups associated with a set-theoretic solution to the Yang--Baxter equation. Us…