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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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https://hal.archives-ouvertes.fr/hal-00919983
Contributor : Gérard Leloup Connect in order to contact the contributor
Submitted on : Tuesday, December 17, 2013 - 9:04:04 PM
Last modification on : Wednesday, October 20, 2021 - 3:18:43 AM
Long-term archiving on: : Tuesday, March 18, 2014 - 12:45:09 AM

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  • HAL Id : hal-00919983, version 1
  • ARXIV : 1312.5269

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

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