Connection of Jonsson theory with some Jonsson polygons theories
This article presents the result related to the model - theoretic properties of special subsets of the semantic model of some fixed Jonsson theory. The specialty of these sets is due to their definability and closure. Further, we consider fragments of these sets and create a hybrid of these fragmen...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Academician Ye.A. Buketov Karaganda University
2019-09-01
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| Series: | Қарағанды университетінің хабаршысы. Математика сериясы |
| Subjects: | |
| Online Access: | http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/301 |
| _version_ | 1797372637593206784 |
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| author | A.R. Yeshkeyev G.A. Urken |
| author_facet | A.R. Yeshkeyev G.A. Urken |
| author_sort | A.R. Yeshkeyev |
| collection | DOAJ |
| description |
This article presents the result related to the model - theoretic properties of special subsets of the semantic model of some fixed Jonsson theory. The specialty of these sets is due to their definability and closure. Further, we consider fragments of these sets and create a hybrid of these fragments from them. The theory is subject to conditions of strongly convexity and existentially coreness. As a result, the class of existentially closed and algebraically prime models in its non - empty intersection contains a core model. By module of the above conditions, the hybrid of the considered fragments has a model that contains a special core subset, definable closure of which gives a certain existentially closed model, which is an algebraic prime model of the theory under consideration.
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| first_indexed | 2024-03-08T18:38:43Z |
| format | Article |
| id | doaj.art-240ff70764824334aec4145dd9408800 |
| institution | Directory Open Access Journal |
| issn | 2518-7929 2663-5011 |
| language | English |
| last_indexed | 2024-03-08T18:38:43Z |
| publishDate | 2019-09-01 |
| publisher | Academician Ye.A. Buketov Karaganda University |
| record_format | Article |
| series | Қарағанды университетінің хабаршысы. Математика сериясы |
| spelling | doaj.art-240ff70764824334aec4145dd94088002023-12-29T10:20:42ZengAcademician Ye.A. Buketov Karaganda UniversityҚарағанды университетінің хабаршысы. Математика сериясы2518-79292663-50112019-09-0195310.31489/2019m2/74-78Connection of Jonsson theory with some Jonsson polygons theoriesA.R. YeshkeyevG.A. Urken This article presents the result related to the model - theoretic properties of special subsets of the semantic model of some fixed Jonsson theory. The specialty of these sets is due to their definability and closure. Further, we consider fragments of these sets and create a hybrid of these fragments from them. The theory is subject to conditions of strongly convexity and existentially coreness. As a result, the class of existentially closed and algebraically prime models in its non - empty intersection contains a core model. By module of the above conditions, the hybrid of the considered fragments has a model that contains a special core subset, definable closure of which gives a certain existentially closed model, which is an algebraic prime model of the theory under consideration. http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/301Jonsson theorysemantic modelperfect theorypolygonmodel companionsyntactic and semantic similarity of Jonsson theories |
| spellingShingle | A.R. Yeshkeyev G.A. Urken Connection of Jonsson theory with some Jonsson polygons theories Қарағанды университетінің хабаршысы. Математика сериясы Jonsson theory semantic model perfect theory polygon model companion syntactic and semantic similarity of Jonsson theories |
| title | Connection of Jonsson theory with some Jonsson polygons theories |
| title_full | Connection of Jonsson theory with some Jonsson polygons theories |
| title_fullStr | Connection of Jonsson theory with some Jonsson polygons theories |
| title_full_unstemmed | Connection of Jonsson theory with some Jonsson polygons theories |
| title_short | Connection of Jonsson theory with some Jonsson polygons theories |
| title_sort | connection of jonsson theory with some jonsson polygons theories |
| topic | Jonsson theory semantic model perfect theory polygon model companion syntactic and semantic similarity of Jonsson theories |
| url | http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/301 |
| work_keys_str_mv | AT aryeshkeyev connectionofjonssontheorywithsomejonssonpolygonstheories AT gaurken connectionofjonssontheorywithsomejonssonpolygonstheories |