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arXiv:1405.0568 [math.LO]AbstractReferencesReviewsResources

On Superstable Expansions of Free Abelian Groups

Daniel Palacin, Rizos Sklinos

Published 2014-05-03, updated 2015-07-01Version 2

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 $\omega$. Additionally, our methods yield other superstable expansions such as $(\Z,+,0)$ equipped with the set of factorial elements.

Categories: math.LO
Subjects: 03C45
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