7 citations · 8 across the 4 of their papers we have counts for
4 papers
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…
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…
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…
Towards a classification of countable 1-transitive trees: countable lower 1-transitive linear orders
Silvia Barbina, Katie Chicot
This paper contains a classification of countable lower 1-transitive linear orders. The notion of lower 1-transitivity generalises that of 1-transitivity for linear orders, and is…