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Published in 2017 at "Illinois Journal of Mathematics"
DOI: 10.1215/ijm/1552442666
Abstract: We define two families of expansions of $(\mathbb{Z},+,0)$ by unary predicates, and prove that their theories are superstable of $U$-rank $\omega$. The first family consists of expansions $(\mathbb{Z},+,0,A)$, where $A$ is an infinite subset of…
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Keywords:
multiplicative structure;
expansions group;
structure stable;
stable expansions ... See more keywords