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Preprints, Working Papers, ... Year : 2013

c-regular cyclically ordered groups

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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Dates and versions

hal-00919983 , version 1 (17-12-2013)

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Gérard Leloup, Francois Lucas. c-regular cyclically ordered groups. 2013. ⟨hal-00919983⟩
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