Abstract

DOLICH, Alfred  and  GOODRICK, John. A Characterization of Strongly Dependent Ordered Abelian Groups. Rev.colomb.mat. [online]. 2018, vol.52, n.2, pp.139-159. ISSN 0034-7426.  https://doi.org/10.15446/recolma.v52n2.77154.

We characterize all ordered Abelian groups whose first-order theory in the language {+, <, 0} is strongly dependent. The main result of this note was obtained independently by Halevi and Hasson [7] and Farré [5].

Keywords : Strongly dependent theories; NIP; ordered Abelian groups.

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