2 papers
math.LO2024
Endomorphisms of free Steiner quasigroups
Silvia Barbina, Enrique Casanovas
A free Steiner quasigroup is a free object in the variety of Steiner quasigroups. Free Steiner quasigroups are characterised by the existence of a levelled construction that starts…
math.LO2024
The elementary theory of free Steiner triple systems
Silvia Barbina, Enrique Casanovas
Free Steiner triple systems (STS) are infinite structures that are naturally characterised by a universal property. We consider the class of free STSs from a model theoretic viewpo…