About central types and the cosemanticness of the ∆-PM fragment of the Jonsson set
This article is concerned with the enrichment of the signature. In own time, when studying the stability of the theory and the concept of an elementary pair of models, Mustafin T.G. had noticed that these things are related to each other and he introduced the concept T ∗-stability [1]. In fact, som...
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| Format: | Article |
| Language: | English |
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Academician Ye.A. Buketov Karaganda University
2017-09-01
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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/167 |
| _version_ | 1797372567795793920 |
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| author | A.R. Yeshkeyev |
| author_facet | A.R. Yeshkeyev |
| author_sort | A.R. Yeshkeyev |
| collection | DOAJ |
| description |
This article is concerned with the enrichment of the signature. In own time, when studying the stability of the theory and the concept of an elementary pair of models, Mustafin T.G. had noticed that these things are related to each other and he introduced the concept T ∗-stability [1]. In fact, some enrichment of the signature is considered. Generally speaking, the theories obtained in the extended language are incomplete, therefore, the number of such completions of these theories is sought. This number also determines stability in the sense of T ∗-stability. It was noted by E.A.Palyutin in [2] that the concept of T ∗-stability is not invariant with respect to definability of type. But we know that in the classical sense of S.Sellach the stability of the theory is invariant with respect to the definability of type. Therefore Palyutin E.A. had introduced the concept E ∗-stability, which preserved the definability of type...
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| first_indexed | 2024-03-08T18:37:49Z |
| format | Article |
| id | doaj.art-258630a8532d4d96a29a3d6d9644c72b |
| institution | Directory Open Access Journal |
| issn | 2518-7929 2663-5011 |
| language | English |
| last_indexed | 2024-03-08T18:37:49Z |
| publishDate | 2017-09-01 |
| publisher | Academician Ye.A. Buketov Karaganda University |
| record_format | Article |
| series | Қарағанды университетінің хабаршысы. Математика сериясы |
| spelling | doaj.art-258630a8532d4d96a29a3d6d9644c72b2023-12-29T10:21:36ZengAcademician Ye.A. Buketov Karaganda UniversityҚарағанды университетінің хабаршысы. Математика сериясы2518-79292663-50112017-09-0187310.31489/2017m3/51-58About central types and the cosemanticness of the ∆-PM fragment of the Jonsson setA.R. Yeshkeyev This article is concerned with the enrichment of the signature. In own time, when studying the stability of the theory and the concept of an elementary pair of models, Mustafin T.G. had noticed that these things are related to each other and he introduced the concept T ∗-stability [1]. In fact, some enrichment of the signature is considered. Generally speaking, the theories obtained in the extended language are incomplete, therefore, the number of such completions of these theories is sought. This number also determines stability in the sense of T ∗-stability. It was noted by E.A.Palyutin in [2] that the concept of T ∗-stability is not invariant with respect to definability of type. But we know that in the classical sense of S.Sellach the stability of the theory is invariant with respect to the definability of type. Therefore Palyutin E.A. had introduced the concept E ∗-stability, which preserved the definability of type... http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/167Jonsson theoryJonsson setfragment of Jonsson setcentral typecosemanticnessstability |
| spellingShingle | A.R. Yeshkeyev About central types and the cosemanticness of the ∆-PM fragment of the Jonsson set Қарағанды университетінің хабаршысы. Математика сериясы Jonsson theory Jonsson set fragment of Jonsson set central type cosemanticness stability |
| title | About central types and the cosemanticness of the ∆-PM fragment of the Jonsson set |
| title_full | About central types and the cosemanticness of the ∆-PM fragment of the Jonsson set |
| title_fullStr | About central types and the cosemanticness of the ∆-PM fragment of the Jonsson set |
| title_full_unstemmed | About central types and the cosemanticness of the ∆-PM fragment of the Jonsson set |
| title_short | About central types and the cosemanticness of the ∆-PM fragment of the Jonsson set |
| title_sort | about central types and the cosemanticness of the ∆ pm fragment of the jonsson set |
| topic | Jonsson theory Jonsson set fragment of Jonsson set central type cosemanticness stability |
| url | http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/167 |
| work_keys_str_mv | AT aryeshkeyev aboutcentraltypesandthecosemanticnessofthepmfragmentofthejonssonset |