Andrew R. Kozlik

most citedBasics of DTS quasigroups: algebra, geometry and enumeration

5 citations · 5 across the 3 of their papers we have counts for

collaborators

3 papers

math.CO2026

The nucleus of a semisymmetric quasigroup

Andrew Richard Kozlik

A binary operation $\cdot$ which satisfies the identity $(x \cdot y) \cdot x = y$ is called a semisymmetric quasigroup. We show that the nucleus of a semisymmetric quasigroup is ei…

math.CO2026★ 5 cited

Basics of DTS quasigroups: algebra, geometry and enumeration

Aleš Drápal, Terry S. Griggs, Andrew R. Kozlik

A directed triple system can be defined as a decomposition of a complete digraph to directed triples $⟨ x, y, z ⟩$ . By setting $x y = z$ , $y z = x$ , $x z = y$ and $uu = u$ we get…

math.CO2026

Flexible Latin directed triple systems

Aleš Drápal, Andrew R. Kozlik, Terry S. Griggs

It is well known that, given a Steiner triple system, a quasigroup can be formed by defining an operation $\cdot$ by the identities $x \cdot x = x$ and $x \cdot y = z$ where $z$ is…