The elementary theory of free Steiner triple systems
| dc.contributor.author | Barbina, Silvia | |
| dc.contributor.author | Casanovas Ruiz-Fornells, Enrique | |
| dc.date.accessioned | 2026-04-08T11:37:26Z | |
| dc.date.available | 2026-04-08T11:37:26Z | |
| dc.date.issued | 2026-02-18 | |
| dc.date.updated | 2026-04-08T11:37:26Z | |
| dc.description.abstract | Free Steiner triple systems (STSs) 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. | |
| dc.format.extent | 26 p. | |
| dc.format.mimetype | application/pdf | |
| dc.identifier.idgrec | 766941 | |
| dc.identifier.issn | 0022-4812 | |
| dc.identifier.uri | https://hdl.handle.net/2445/228722 | |
| dc.language.iso | eng | |
| dc.publisher | Association for Symbolic Logic. | |
| dc.relation.isformatof | Reproducció del document publicat a: https://doi.org/10.1017/jsl.2026.10188 | |
| dc.relation.ispartof | Journal of Symbolic Logic, 2026 | |
| dc.relation.uri | https://doi.org/10.1017/jsl.2026.10188 | |
| dc.rights | (c) Barbina, Silvia, et al., 2026 | |
| dc.rights.accessRights | info:eu-repo/semantics/openAccess | |
| dc.source | Articles publicats en revistes (Matemàtiques i Informàtica) | |
| dc.subject.classification | Combinatòria (Matemàtica) | |
| dc.subject.classification | Teoria de models | |
| dc.subject.classification | Lògica matemàtica | |
| dc.subject.other | Combinations | |
| dc.subject.other | Model theory | |
| dc.subject.other | Mathematical logic | |
| dc.title | The elementary theory of free Steiner triple systems | |
| dc.type | info:eu-repo/semantics/article | |
| dc.type | info:eu-repo/semantics/publishedVersion |
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