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Preprint Number 667

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667. Gérard Leloup (LMM), François Lucas (LAREMA)
c-Regular cyclically ordered groups
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Submission date: 18 December 2013.

Abstract:

We define and we characterize regular and c-regular cyclically ordered abelian groups. We prove that every dense c-regular cyclically ordered abelian group is elementarily equivalent to some cyclically ordered group of unimodular complex numbers, that every discrete c-regular cyclically ordered abelian group is elementarily equivalent to some ultraproduct of finite cyclic groups, and that the discrete regular non-c-regular cyclically ordered abelian groups are elementarily equivalent to the linearly cyclically ordered group of integers.

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Full text arXiv 1312.5269: pdf, ps.


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