Sklinos, RizosPalacín Cruz, Daniel2024-02-032024-02-032018-01-29Palacín, D.; Sklinos, R. On Superstable Expansions of Free Abelian Groups. Notre Dame Journal of Formal Logic 2018, 59(2). doi:10.1215/00294527-2017-0023.0029-452710.1215/00294527-2017-0023https://hdl.handle.net/20.500.14352/98556We 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.engjournal articlehttps//doi.org/10.1215/00294527-2017-0023open accessFree Abelian groupsSuperstabilityModel theoryLógica simbólica y matemática (Matemáticas)1102.10 Teoría de Modelos