A characterization of strongly dependent ordered Abelian groups

Alfred Dolich; John Goodrick

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arXiv · 1707.06344

A characterization of strongly dependent ordered Abelian groups

Alfred Dolich·John Goodrick

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Abstract

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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Alfred Dolich, John Goodrick. 2017-07-20. A characterization of strongly dependent ordered Abelian groups. https://arxiv.org/abs/1707.06344

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