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JOURNALS // Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia // Archive

Dokl. RAN. Math. Inf. Proc. Upr., 2023 Volume 513, Pages 5–8 (Mi danma409)

This article is cited in 1 paper

MATHEMATICS

Countable models of complete ordered theories

T. S. Zambarnayaa, B. S. Baizhanovab

a Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan
b Suleyman Demirel University, Kaskelen, Kazakhstan

Abstract: The article consists of observations regarding complete theories of countable signatures and their countable models. We provide a construction of a countable linearly ordered theory which has the same number of countable non-isomorphic models as the given countable, not necessarily linearly ordered, theory.

Keywords: linear order, number of countable models, Vaught's conjecture.

UDC: 510.67

Received: 13.09.2023
Revised: 04.10.2023
Accepted: 19.10.2023

DOI: 10.31857/S268695432370025X


 English version:
Doklady Mathematics, 2023, 108:2, 343–345

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© Steklov Math. Inst. of RAS, 2025