4 citations · 4 across the 5 of their papers we have counts for
5 papers
Distributive and trimedial quasigroups of order 243
Přemysl Jedlička, David Stanovský, Petr Vojtěchovský
We enumerate three classes of non-medial quasigroups of order up to isomorphism. There are non-medial trimedial quasigroups of order (extending the work of…
Abelian extensions and solvable loops
David Stanovský, Petr Vojtěchovský
Based on the recent development of commutator theory for loops, we provide both syntactic and semantic characterization of abelian normal subloops. We highlight the analogies betwe…
A combinatorial approach to knot recognition
Andrew Fish, Alexei Lisitsa, David Stanovský
This is a report on our ongoing research on a combinatorial approach to knot recognition, using coloring of knots by certain algebraic objects called quandles. The aim of the paper…
Linear representation of Abel-Grassmann groups
David Stanovsky
We describe an linear representation for Abel-Grassmann groups. As a consequence, we obtain or improve many previous results. In particular, enumeration of Abel-Grassmann groups up…
Distributive and anti-distributive Mendelsohn triple systems
Diane M. Donovan, Terry S. Griggs, Thomas A. McCourt +2
We prove that the existence spectrum of Mendelsohn triple systems whose associated quasigroups satisfy distributivity corresponds to the Loeschian numbers, and provide some enumera…