Indecomposable involutive non-degenerate set-theoretic solutions (X, r) of the Yang–Baxter
equation of cardinality p 1⋯ pn, for different prime numbers p 1,…, pn, are studied. It is …

We connect properties of set-theoretic solutions to the Yang--Baxter equation to properties of
their permutation skew brace. In particular, a variation of the multipermutation level of a …

We study indecomposable involutive set-theoretic solutions of the Yang-Baxter equation
with cyclic permutation groups (cocyclic solutions). We give a complete system of three …

In this paper we study the problem of the classification of indecomposable solutions of the
Yang-Baxter equation. Using a scheme proposed by Bachiller, Cedó, and Jespers, and …

This paper aims to deepen the theory of bijective non-degenerate set-theoretic solutions of
the Yang–Baxter equation, not necessarily involutive, by means of q-cycle sets. We entirely …

Convergence theory of efficient parametric iterative methods for solving the Yang-Baxter-like
matrix equation | Emerald Insight Books and journals Case studies Expert Briefings Open Access …

A characterization of finite simple set-theoretic solutions of the Yang-Baxter equation Page 1
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY https://doi.org/10.1090/proc/16329 …

In this paper, we focus on semiprime skew left braces provided by semidirect products. We
show that if a semidirect product $ B_1\rtimes B_2 $ is semiprime and $ B_1 $ is Artinian …

This paper aims to deepen the theory of bijective non-degenerate set-theoretic solutions of
the Yang-Baxter equation, not necessarily involutive, by means of q-cycle sets. We entirely …

We study the structure of a left cancellative left semi-brace $ B $ such that the skew left brace
contained in $ B $ acts trivially on the additive idempotents by the lambda map. As a first …