Article · BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS · March 29, 2024
The cosemanticness of Kaiser hulls of fixed classes of models
Aibat R. Yeshkeyev, I.O. Tungushbayeva, A.K. Koshekova
Abstract
In this article, within the framework of the study of Jonsson theories, the model-theoretic properties of cosemanticness classes belonging to the factor set of the Jonsson spectrum of an existentially closed models’ subclass of some Jonsson theory in a fixed language were studied. Various results have been obtained. In particular, the properties of the cosemanticness of models and classes of models are considered; some results concerning the Jonsson equivalence in generalization for classes of existentially closed models are obtained; a criterion for the cosemanticness of J-classes in connection with their Kaiser hulls has been found.
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