Geometry of strongly minimal hybrids of fragments of theoretical sets
In this article, strongly minimal geometries of fragment hybrids are considered. In this article, a new concept was introduced as a family of Jonsson definable subsets of the semantic model of the Jonsson theory T, denoted by JDef(CT). The classes of the Robinson spectrum and the geometry of hybrid...
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| Format: | Article |
| Language: | English |
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Academician Ye.A. Buketov Karaganda University
2023-09-01
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| Series: | Қарағанды университетінің хабаршысы. Математика сериясы |
| Subjects: | |
| Online Access: | http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/582 |
| _version_ | 1797372708065902592 |
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| author | M.T. Kassymetova N.M. Mussina |
| author_facet | M.T. Kassymetova N.M. Mussina |
| author_sort | M.T. Kassymetova |
| collection | DOAJ |
| description |
In this article, strongly minimal geometries of fragment hybrids are considered. In this article, a new concept was introduced as a family of Jonsson definable subsets of the semantic model of the Jonsson theory T, denoted by JDef(CT). The classes of the Robinson spectrum and the geometry of hybrids of central types of a fixed RSp(A) are considered. Using the construction of a central type for theories from the Robinson spectrum, we formulate and prove results for hybrids of Jonsson theories. A criterion for the uncountable categoricity of a hereditary hybrid of Jonsson theories is proved in the language of central types. The results obtained can be useful for continuing research on various Jonsson theories, in particular, for hybrids of Jonsson theories.
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| first_indexed | 2024-03-08T18:38:46Z |
| format | Article |
| id | doaj.art-3311f4d920ed4779abb5ce7d5d9118d2 |
| institution | Directory Open Access Journal |
| issn | 2518-7929 2663-5011 |
| language | English |
| last_indexed | 2024-03-08T18:38:46Z |
| publishDate | 2023-09-01 |
| publisher | Academician Ye.A. Buketov Karaganda University |
| record_format | Article |
| series | Қарағанды университетінің хабаршысы. Математика сериясы |
| spelling | doaj.art-3311f4d920ed4779abb5ce7d5d9118d22023-12-29T10:18:50ZengAcademician Ye.A. Buketov Karaganda UniversityҚарағанды университетінің хабаршысы. Математика сериясы2518-79292663-50112023-09-01111310.31489/2023m3/47-58Geometry of strongly minimal hybrids of fragments of theoretical setsM.T. KassymetovaN.M. Mussina In this article, strongly minimal geometries of fragment hybrids are considered. In this article, a new concept was introduced as a family of Jonsson definable subsets of the semantic model of the Jonsson theory T, denoted by JDef(CT). The classes of the Robinson spectrum and the geometry of hybrids of central types of a fixed RSp(A) are considered. Using the construction of a central type for theories from the Robinson spectrum, we formulate and prove results for hybrids of Jonsson theories. A criterion for the uncountable categoricity of a hereditary hybrid of Jonsson theories is proved in the language of central types. The results obtained can be useful for continuing research on various Jonsson theories, in particular, for hybrids of Jonsson theories. http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/582Jonsson theorysemantic modelfragmenthybrid of Jonsson theoriesJonsson settheoretical set |
| spellingShingle | M.T. Kassymetova N.M. Mussina Geometry of strongly minimal hybrids of fragments of theoretical sets Қарағанды университетінің хабаршысы. Математика сериясы Jonsson theory semantic model fragment hybrid of Jonsson theories Jonsson set theoretical set |
| title | Geometry of strongly minimal hybrids of fragments of theoretical sets |
| title_full | Geometry of strongly minimal hybrids of fragments of theoretical sets |
| title_fullStr | Geometry of strongly minimal hybrids of fragments of theoretical sets |
| title_full_unstemmed | Geometry of strongly minimal hybrids of fragments of theoretical sets |
| title_short | Geometry of strongly minimal hybrids of fragments of theoretical sets |
| title_sort | geometry of strongly minimal hybrids of fragments of theoretical sets |
| topic | Jonsson theory semantic model fragment hybrid of Jonsson theories Jonsson set theoretical set |
| url | http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/582 |
| work_keys_str_mv | AT mtkassymetova geometryofstronglyminimalhybridsoffragmentsoftheoreticalsets AT nmmussina geometryofstronglyminimalhybridsoffragmentsoftheoreticalsets |