23 citations · 121 across the 48 of their papers we have counts for
58 papers
Structure algebras of finite set-theoretic solutions of the Yang--Baxter equation
Ilaria Colazzo, Eric Jespers, Łukasz Kubat +1
Quadratic algebras related to some classes of finite left non-degenerate solutions (X,r) of the Yang--Baxter equation have been intensively studied since they are the associative r…
Finite idempotent set-theoretic solutions of the Yang--Baxter equation
Ilaria Colazzo, Eric Jespers, Łukasz Kubat +2
It is proven that finite idempotent left non-degenerate set-theoretic solutions of the Yang-Baxter equation on a set are determined by a left simple semigroup structure…
Nilpotency of skew braces and multipermutation solutions of the Yang-Baxter equation
E. Jespers, A. Van Antwerpen, L. Vendramin
We study relations between different notions of nilpotency in the context of skew braces and applications to the structure of solutions to the Yang-Baxter equation. In particular,…
Units of twisted group rings and their correlations to classical group rings
Geoffrey Janssens, Eric Jespers, Ofir Schnabel
This paper is centered around the classical problem of extracting properties of a finite group from the ring isomorphism class of its integral group ring . This p…
Corrigendum and Addendum to "Structure monoids of set-theoretic solutions of the Yang--Baxter equation"
Ferran Cedó, Eric Jespers, Charlotte Verwimp
One of the results in our article, which appeared in Publ. Mat. 65 (2021), 499--528, is that the structure monoid of a left non-degenerate solution of the Yang-Bax…
Left non-degenerate set-theoretic solutions of the Yang-Baxter equation and semitrusses
Ilaria Colazzo, Eric Jespers, Arne Van Antwerpen +1
To determine and analyze arbitrary left non-degenerate set-theoretic solutions of the Yang-Baxter equation (not necessarily bijective), we introduce an associative algebraic struct…