4 citations · 6 across the 6 of their papers we have counts for
4 papers · 1 filter
Non-involutive solutions of the Yang-Baxter equation of multipermutation level 2
Jan Hora, Premysl Jedlicka, Agata Pilitowska
We study non-degenerate set-theoretic solutions of the Yang-Baxter equation of multipermutation level 2 which are not 2-reductive. We describe an effective way of constructing such…
Diagonals of solutions of the Yang-Baxter equation
Premysl Jedlicka, Agata Pilitowska
We study the diagonal mappings in non-involutive set-theoretic solutions of the Yang-Baxter equation. We show that, for non-degenerate solutions, they are commuting bijections. Thi…
Free medial quandles
Premysl Jedlicka, Agata Pilitowska, Anna Zamojska-Dzienio
This paper brings the construction of free medial quandles as well as free -symmetric medial quandles and free -reductive medial quandles.
Subdirectly irreducible medial quandles
Premysl Jedlicka, Agata Pilitowska, Anna Zamojska-Dzienio
We describe all subdirectly irreducible medial quandles. We show that they fall within one of four disjoint classes. In particular, in the finite case they are either connected (an…