On ℱ-homogeneous models
DOI:
https://doi.org/10.70474/9rk4c692Keywords:
ℱ-homogeneous model, interval homogeneous linear orderAbstract
We introduce the notion of an ℱ-homogeneous model and prove that if a theory has an infinite ℱ-homogeneous model, then it has an ℱ-homogeneous model of any infinite cardinality which is not less than the cardinality of the theory.
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References
General Algebra, Vol. 1, Series "Reference Mathematical Library", Moscow: Nauka, 1990 (in Russian)
C.C. Chang, H.J. Keisler, Model Theory, North-Holland, 1973
S.Shelah, Classification theory and the number of non-isomorphic models, North-Holland, 1978
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2025-01-28
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How to Cite
On ℱ-homogeneous models. (2025). Kazakh Mathematical Journal, 22(3), 33–37. https://doi.org/10.70474/9rk4c692
