The cosemanticness of Kaiser hulls of fixed classes of models
Бекiтiлген модельдер класының Кайзер қабықшасының косемантикалылығы
Косемантичность оболочек Кайзера фиксированных классов моделей
Yeshkeyev A.R. Tungushbayeva I.O. Koshekova A.K.
2024E.A. Buketov Karaganda University Publish house
Bulletin of the Karaganda University. Mathematics Series
2024#113Issue 1208 - 217 pp.
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.
cosemantic classes , cosemantic Jonsson theories , cosemantic models , cosemanticness , cosemanticness classes , J-class , Jonsson equivalence , Jonsson spectrum , Jonsson theory , Kaiser hull
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The Department of Algebra, Mathematic Logic and Geometry named after Professor T.G. Mustafin, Karaganda Buketov University, 28a Universitetskaya Street, Karaganda, 100028, Kazakhstan
Karaganda Buketov University, 28a Universitetskaya street, Karaganda, 100028, Kazakhstan
The Department of Algebra
Karaganda Buketov University
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