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arxiv: 1707.06344 · v1 · pith:JZEXK7BGnew · submitted 2017-07-20 · 🧮 math.LO

A characterization of strongly dependent ordered Abelian groups

classification 🧮 math.LO
keywords abeliandependentgroupsorderedstronglycharacterizationcharacterizefarr
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We characterize all ordered Abelian groups whose first order theory in the language {+,<} is strongly dependent. The main result of this note was obtained independently by Halevi-Hasson and Farr\'e.

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