On superstable expansions of free Abelian Groups
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 wi...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2018 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/98556 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/98556 |
| Access Level: | acceso abierto |
| Palabra clave: | Free Abelian groups Superstability Model theory Lógica simbólica y matemática (Matemáticas) 1102.10 Teoría de Modelos |
| Sumario: | 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. |
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