3 citations · 3 across the 1 of their papers we have counts for
7 papers
Homomorphic images of affine quandles
Přemysl Jedlička, David Stanovský
We are interested in abstract conditions that characterize homomorphic images of affine quandles. Our main result is a two-fold characterization of this class: one by a property of…
Idempotent solutions of the Yang-Baxter equation and twisted group division
David Stanovský, Petr Vojtěchovský
Idempotent left nondegenerate solutions of the Yang-Baxter equation are in one-to-one correspondence with twisted Ward left quasigroups, which are left quasigroups satisfying the i…
Involutive latin solutions of the Yang-Baxter equation
Marco Bonatto, Michael Kinyon, David Stanovský +1
Wolfgang Rump showed that there is a one-to-one correspondence between nondegenerate involutive set-theoretic solutions of the Yang-Baxter equation and binary algebras in which all…
A Universal algebraic approach to rack coverings
Marco Bonatto, David Stanovský
We study rack and quandle coverings from a universal algebraic viewpoint and we show how they can be understood using the notion of strongly abelian congruences. We provide an abst…
Commutator theory for racks and quandles
Marco Bonatto, David Stanovský
We adapt the commutator theory of universal algebra to the particular setting of racks and quandles, exploiting a Galois connection between congruences and certain normal subgroups…
Medial quasigroups of prime square order
David Stanovský
We prove that, for any prime , there are precisely medial quasigroups of order , up to isomorphism.