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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…
math.LO2018★ 7 cited
Model theory of Steiner triple systems
Silvia Barbina, Enrique Casanovas
A Steiner triple system is a set together with a collection of subsets of of size 3 such that any two elements of belong to exactly one element of $\mathc…