On Superstable Expansions of Free Abelian Groups
Logic
2018-05-23 v4
Abstract
We prove that 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 . Additionally, our methods yield other superstable expansions such as equipped with the set of factorial elements.
Cite
@article{arxiv.1405.0568,
title = {On Superstable Expansions of Free Abelian Groups},
author = {Daniel Palacin and Rizos Sklinos},
journal= {arXiv preprint arXiv:1405.0568},
year = {2018}
}