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COUNTABLE MODELS OF COMPLETE ORDERED THEORIES
- Authors: Zambarnaya T.S.1, Baizhanov B.1,2
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Affiliations:
- Institute of Mathematics and Mathematical Modeling
- Suleyman Demirel University
- Issue: Vol 513, No 1 (2023)
- Pages: 5-8
- Section: MATHEMATICS
- URL: https://rjeid.com/2686-9543/article/view/647865
- DOI: https://doi.org/10.31857/S268695432370025X
- EDN: https://elibrary.ru/CMFRBD
- ID: 647865
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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.
About the authors
T. S. Zambarnaya
Institute of Mathematics and Mathematical Modeling
Author for correspondence.
Email: zambarnaya@math.kz
Kazakhstan, Almaty
B. Baizhanov
Institute of Mathematics and Mathematical Modeling; Suleyman Demirel University
Email: zambarnaya@math.kz
Kazakhstan, Almaty; Kazakhstan, Kaskelen
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