The cosemanticness of Kaiser hulls of fixed classes of models
DOI:
https://doi.org/10.31489/2024m1/208-217Keywords:
Jonsson theory, cosemanticness, cosemantic Jonsson theories, Jonsson spectrum, cosemanticness classes, Kaiser hull, Jonsson equivalence, J-class, cosemantic models, cosemantic classesAbstract
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.
