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A characterization of strongly dependent ordered Abelian groups

Logic 2017-07-21 v1

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.

Keywords

Cite

@article{arxiv.1707.06344,
  title  = {A characterization of strongly dependent ordered Abelian groups},
  author = {Alfred Dolich and John Goodrick},
  journal= {arXiv preprint arXiv:1707.06344},
  year   = {2017}
}

Comments

15 pages

R2 v1 2026-06-22T20:52:26.985Z