May 2023 A Family of dp-Minimal Expansions of (Z;+)
Chieu-Minh Tran, Erik Walsberg
Author Affiliations +
Notre Dame J. Formal Logic 64(2): 225-238 (May 2023). DOI: 10.1215/00294527-10670096

Abstract

We consider structures of the form (Z;+,C), where C is an additive cyclic order on (Z;+). We show that such structures are dp-minimal and in this way produce a continuum-size family of dp-minimal expansions of (Z;+) such that no two members of the family define the same subsets of Z.

Citation

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Chieu-Minh Tran. Erik Walsberg. "A Family of dp-Minimal Expansions of (Z;+)." Notre Dame J. Formal Logic 64 (2) 225 - 238, May 2023. https://doi.org/10.1215/00294527-10670096

Information

Received: 3 March 2023; Accepted: 15 March 2023; Published: May 2023
First available in Project Euclid: 27 June 2023

MathSciNet: MR4609006
zbMATH: 07720264
Digital Object Identifier: 10.1215/00294527-10670096

Subjects:
Primary: 03C65
Secondary: 03B25 , 03C10 , 03C64

Keywords: cyclic order , dp-minimal , Expansion , reduct

Rights: Copyright © 2023 University of Notre Dame

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Vol.64 • No. 2 • May 2023
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