The cosemanticness of Kaiser hulls of fixed classes of models
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 h...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Academician Ye.A. Buketov Karaganda University
2024-03-01
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| Series: | Қарағанды университетінің хабаршысы. Математика сериясы |
| Subjects: | |
| Online Access: | https://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/696 |
| _version_ | 1797234182264455168 |
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| author | A.R. Yeshkeyev I.O. Tungushbayeva A.K. Koshekova |
| author_facet | A.R. Yeshkeyev I.O. Tungushbayeva A.K. Koshekova |
| author_sort | A.R. Yeshkeyev |
| collection | DOAJ |
| description |
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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| first_indexed | 2024-04-24T16:28:00Z |
| format | Article |
| id | doaj.art-48f7e4a87dec4fa980851a772f3ffcfa |
| institution | Directory Open Access Journal |
| issn | 2518-7929 2663-5011 |
| language | English |
| last_indexed | 2024-04-24T16:28:00Z |
| publishDate | 2024-03-01 |
| publisher | Academician Ye.A. Buketov Karaganda University |
| record_format | Article |
| series | Қарағанды университетінің хабаршысы. Математика сериясы |
| spelling | doaj.art-48f7e4a87dec4fa980851a772f3ffcfa2024-03-30T14:47:08ZengAcademician Ye.A. Buketov Karaganda UniversityҚарағанды университетінің хабаршысы. Математика сериясы2518-79292663-50112024-03-01113110.31489/2024m1/208-217The cosemanticness of Kaiser hulls of fixed classes of modelsA.R. YeshkeyevI.O. TungushbayevaA.K. Koshekova 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. https://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/696Jonsson theorycosemanticnesscosemantic Jonsson theoriesJonsson spectrumcosemanticness classesKaiser hull |
| spellingShingle | A.R. Yeshkeyev I.O. Tungushbayeva A.K. Koshekova The cosemanticness of Kaiser hulls of fixed classes of models Қарағанды университетінің хабаршысы. Математика сериясы Jonsson theory cosemanticness cosemantic Jonsson theories Jonsson spectrum cosemanticness classes Kaiser hull |
| title | The cosemanticness of Kaiser hulls of fixed classes of models |
| title_full | The cosemanticness of Kaiser hulls of fixed classes of models |
| title_fullStr | The cosemanticness of Kaiser hulls of fixed classes of models |
| title_full_unstemmed | The cosemanticness of Kaiser hulls of fixed classes of models |
| title_short | The cosemanticness of Kaiser hulls of fixed classes of models |
| title_sort | cosemanticness of kaiser hulls of fixed classes of models |
| topic | Jonsson theory cosemanticness cosemantic Jonsson theories Jonsson spectrum cosemanticness classes Kaiser hull |
| url | https://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/696 |
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