On superstable expansions of free Abelian Groups
Loading...
Official URL
Full text at PDC
Publication date
2018
Authors
Advisors (or tutors)
Editors
Journal Title
Journal ISSN
Volume Title
Publisher
University of Notre Dame
Citations
Exportar
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.
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.