Articles with "expansions group" as a keyword



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Multiplicative structure in stable expansions of the group of integers

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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… read more here.

Keywords: multiplicative structure; expansions group; structure stable; stable expansions ... See more keywords