Existential prime convex Jonsson theories and their models
This article is devoted to the study of the model - theoretic properties of special subclasses of Jonsson theories and their classes of models. Namely, introduce a new class of Jonsson theories is existentially prime convex Jonsson theories. The notion of convexity of theory was previously known, i...
| Main Author: | |
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| Format: | Article |
| Language: | English |
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Academician Ye.A. Buketov Karaganda University
2016-03-01
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| Series: | Қарағанды университетінің хабаршысы. Математика сериясы |
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| Online Access: | http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/75 |
| _version_ | 1797372617646145536 |
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| author | A.R. Yeshkeyev |
| author_facet | A.R. Yeshkeyev |
| author_sort | A.R. Yeshkeyev |
| collection | DOAJ |
| description |
This article is devoted to the study of the model - theoretic properties of special subclasses of Jonsson theories and their classes of models. Namely, introduce a new class of Jonsson theories is existentially prime convex Jonsson theories. The notion of convexity of theory was previously known, it was introduced by A.Robinson. The notion of existential simplicity introduced by the author of this article. Both conditions form a broad natural classes of theories. Thus two natural restrictions on Jonsson define a new class of theories with rich model - theoretic properties. Besides defined formulation of the problem, which define a new direction in the study Jonsson theories.
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| first_indexed | 2024-03-08T18:38:26Z |
| format | Article |
| id | doaj.art-e2386e90e7244d4abf3fabc8c07967c9 |
| institution | Directory Open Access Journal |
| issn | 2518-7929 2663-5011 |
| language | English |
| last_indexed | 2024-03-08T18:38:26Z |
| publishDate | 2016-03-01 |
| publisher | Academician Ye.A. Buketov Karaganda University |
| record_format | Article |
| series | Қарағанды университетінің хабаршысы. Математика сериясы |
| spelling | doaj.art-e2386e90e7244d4abf3fabc8c07967c92023-12-29T10:22:10ZengAcademician Ye.A. Buketov Karaganda UniversityҚарағанды университетінің хабаршысы. Математика сериясы2518-79292663-50112016-03-01811Existential prime convex Jonsson theories and their modelsA.R. Yeshkeyev This article is devoted to the study of the model - theoretic properties of special subclasses of Jonsson theories and their classes of models. Namely, introduce a new class of Jonsson theories is existentially prime convex Jonsson theories. The notion of convexity of theory was previously known, it was introduced by A.Robinson. The notion of existential simplicity introduced by the author of this article. Both conditions form a broad natural classes of theories. Thus two natural restrictions on Jonsson define a new class of theories with rich model - theoretic properties. Besides defined formulation of the problem, which define a new direction in the study Jonsson theories. http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/75Jonsson setsthe model-theoretic propertiesthe existentially-prime closed model |
| spellingShingle | A.R. Yeshkeyev Existential prime convex Jonsson theories and their models Қарағанды университетінің хабаршысы. Математика сериясы Jonsson sets the model-theoretic properties the existentially-prime closed model |
| title | Existential prime convex Jonsson theories and their models |
| title_full | Existential prime convex Jonsson theories and their models |
| title_fullStr | Existential prime convex Jonsson theories and their models |
| title_full_unstemmed | Existential prime convex Jonsson theories and their models |
| title_short | Existential prime convex Jonsson theories and their models |
| title_sort | existential prime convex jonsson theories and their models |
| topic | Jonsson sets the model-theoretic properties the existentially-prime closed model |
| url | http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/75 |
| work_keys_str_mv | AT aryeshkeyev existentialprimeconvexjonssontheoriesandtheirmodels |