The elementary theory of free Steiner triple systems

Autor: Barbina, Silvia, Casanovas, Enrique
Rok vydání: 2024
Předmět:
Druh dokumentu: Working Paper
Popis: 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 viewpoint. We show that free STSs on any number of generators are elementarily equivalent. We axiomatise their theory and show that it is stable.
Databáze: arXiv