11 citations · 11 across the 4 of their papers we have counts for
6 papers
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…
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…
On various types of nilpotency of the structure monoid and group of a set-theoretic solution of the Yang--Baxter equation
F. Cedó, E. Jespers, Ł. Kubat +2
Given a finite bijective non-degenerate set-theoretic solution of the Yang--Baxter equation we characterize when its structure monoid is Malcev nilpotent. Applying…
Structure monoids of set-theoretic solutions of the Yang-Baxter equation
Ferran Cedo, Eric Jespers, Charlotte Verwimp
Given a set-theoretic solution of the Yang--Baxter equation, we denote by the structure monoid and by , respectively , the left, respective…
Skew lattices and set-theoretic solutions of the Yang-Baxter equation
Karin Cvetko-Vah, Charlotte Verwimp
In this paper we discuss and characterize several set-theoretic solutions of the Yang-Baxter equation obtained using skew lattices, an algebraic structure that has not yet been rel…