On superstable expansions of free Abelian Groups
| dc.contributor.author | Sklinos, Rizos | |
| dc.contributor.author | Palacín Cruz, Daniel | |
| dc.date.accessioned | 2024-02-03T14:39:01Z | |
| dc.date.available | 2024-02-03T14:39:01Z | |
| dc.date.issued | 2018-01-29 | |
| dc.description.abstract | We prove that (Z,+,0) has no proper superstable expansions of finite Lascar rank. Nevertheless, this structure equipped with a predicate defining powers of a given natural number is superstable of Lascar rank ω. Additionally, our methods yield other superstable expansions such as (Z,+,0) equipped with the set of factorial elements. | en |
| dc.description.department | Depto. de Álgebra, Geometría y Topología | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.status | pub | |
| dc.identifier.citation | Palacín, D.; Sklinos, R. On Superstable Expansions of Free Abelian Groups. Notre Dame Journal of Formal Logic 2018, 59(2). doi:10.1215/00294527-2017-0023. | |
| dc.identifier.doi | 10.1215/00294527-2017-0023 | |
| dc.identifier.issn | 0029-4527 | |
| dc.identifier.officialurl | https//doi.org/10.1215/00294527-2017-0023 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/98556 | |
| dc.issue.number | 2 | |
| dc.journal.title | Notre Dame Journal of Formal Logic | |
| dc.language.iso | eng | |
| dc.page.final | 169 | |
| dc.page.initial | 157 | |
| dc.publisher | University of Notre Dame | |
| dc.rights.accessRights | open access | |
| dc.subject.keyword | Free Abelian groups | |
| dc.subject.keyword | Superstability | |
| dc.subject.keyword | Model theory | |
| dc.subject.ucm | Lógica simbólica y matemática (Matemáticas) | |
| dc.subject.unesco | 1102.10 Teoría de Modelos | |
| dc.title | On superstable expansions of free Abelian Groups | en |
| dc.type | journal article | |
| dc.volume.number | 59 | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | f173a7c4-2532-4caf-8464-59f9fd9483c6 | |
| relation.isAuthorOfPublication.latestForDiscovery | f173a7c4-2532-4caf-8464-59f9fd9483c6 |
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