The properties of central types with respect to enrichment by Jonsson set
The main results of the article are for a new class of theories, namely existential prime strongly convex Jonsson theories. This class is quite broad in terms of algebra, for example it includes the class of all Abelian groups and groups. This article examines the issues relating to the following s...
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| Format: | Article |
| Language: | English |
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Academician Ye.A. Buketov Karaganda University
2017-03-01
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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/142 |
| _version_ | 1797372555445665792 |
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| author | A.R. Yeshkeyev |
| author_facet | A.R. Yeshkeyev |
| author_sort | A.R. Yeshkeyev |
| collection | DOAJ |
| description |
The main results of the article are for a new class of theories, namely existential prime strongly convex Jonsson theories. This class is quite broad in terms of algebra, for example it includes the class of all Abelian groups and groups. This article examines the issues relating to the following subjects. The language on considered a signature adds a new predicate symbol which reflects the presence of the Jonsson set. The concept of Jonsson sets in Jonsson theory is a generalization of the concept of the dimension of the linear space. T.G. Mustafin in due time, introduced and proved the basic properties of the syntactic and semantic similarity. In this paper, in the extended language we have similare to the results for the considered theories. In this direction, the main results of the work are the following results: The coincidence of P–stability for the prototype and its central-type center. The equivalence of syntactic similarity of existentially EP SCJ compleate theories and syntactical similarity of their centers was consedered. From this it can be seen a lot of useful facts. In particular semantic similarity. As well as a list of semantic properties, which are stored at the semantic similarity. For example, the semantic properties that invariant properties of the first order applies Morley rank of the central type.
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| first_indexed | 2024-03-08T18:37:40Z |
| format | Article |
| id | doaj.art-00b1d3fef4194601be5542c31c252e9f |
| institution | Directory Open Access Journal |
| issn | 2518-7929 2663-5011 |
| language | English |
| last_indexed | 2024-03-08T18:37:40Z |
| publishDate | 2017-03-01 |
| publisher | Academician Ye.A. Buketov Karaganda University |
| record_format | Article |
| series | Қарағанды университетінің хабаршысы. Математика сериясы |
| spelling | doaj.art-00b1d3fef4194601be5542c31c252e9f2023-12-29T10:21:46ZengAcademician Ye.A. Buketov Karaganda UniversityҚарағанды университетінің хабаршысы. Математика сериясы2518-79292663-50112017-03-0185110.31489/2017m1/36-40The properties of central types with respect to enrichment by Jonsson setA.R. Yeshkeyev The main results of the article are for a new class of theories, namely existential prime strongly convex Jonsson theories. This class is quite broad in terms of algebra, for example it includes the class of all Abelian groups and groups. This article examines the issues relating to the following subjects. The language on considered a signature adds a new predicate symbol which reflects the presence of the Jonsson set. The concept of Jonsson sets in Jonsson theory is a generalization of the concept of the dimension of the linear space. T.G. Mustafin in due time, introduced and proved the basic properties of the syntactic and semantic similarity. In this paper, in the extended language we have similare to the results for the considered theories. In this direction, the main results of the work are the following results: The coincidence of P–stability for the prototype and its central-type center. The equivalence of syntactic similarity of existentially EP SCJ compleate theories and syntactical similarity of their centers was consedered. From this it can be seen a lot of useful facts. In particular semantic similarity. As well as a list of semantic properties, which are stored at the semantic similarity. For example, the semantic properties that invariant properties of the first order applies Morley rank of the central type. http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/142Jonsson theoryJonsson setfragment of Jonsson setsExistentially Prime Strongy Convex Jonsson theories |
| spellingShingle | A.R. Yeshkeyev The properties of central types with respect to enrichment by Jonsson set Қарағанды университетінің хабаршысы. Математика сериясы Jonsson theory Jonsson set fragment of Jonsson sets Existentially Prime Strongy Convex Jonsson theories |
| title | The properties of central types with respect to enrichment by Jonsson set |
| title_full | The properties of central types with respect to enrichment by Jonsson set |
| title_fullStr | The properties of central types with respect to enrichment by Jonsson set |
| title_full_unstemmed | The properties of central types with respect to enrichment by Jonsson set |
| title_short | The properties of central types with respect to enrichment by Jonsson set |
| title_sort | properties of central types with respect to enrichment by jonsson set |
| topic | Jonsson theory Jonsson set fragment of Jonsson sets Existentially Prime Strongy Convex Jonsson theories |
| url | http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/142 |
| work_keys_str_mv | AT aryeshkeyev thepropertiesofcentraltypeswithrespecttoenrichmentbyjonssonset AT aryeshkeyev propertiesofcentraltypeswithrespecttoenrichmentbyjonssonset |