The atomic definable subsets of semantic model

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dc.contributor.author Yeshkeyev, A.R.
dc.contributor.author Issaeva, A.K.
dc.contributor.author Mussina, N.M.
dc.date.accessioned 2019-08-19T11:07:56Z
dc.date.available 2019-08-19T11:07:56Z
dc.date.issued 2019-06-28
dc.identifier.citation Yeshkeyev, A.R. The atomic definable subsets of semantic model / A.R. Yeshkeyev, A.K. Issaeva, N.M. Mussina // Қарағанды универисетінің хабаршысы. Математика сериясы.=Вестник Карагандинского университета. Серия Математика.=Bulletin of the Karaganda University. Mathematics Series. – 2019. - № 2. – P. 84-91. ru_RU
dc.identifier.issn 2518-7929
dc.identifier.issn 2663-5011
dc.identifier.uri http://rep.ksu.kz//handle/data/7272
dc.description.abstract In this paper some properties of small models, generally speaking, not necessarily complete theories and their relationship with each other were considered. Under small models we will understand some modifications of the concepts of countable atomic and prime models. These models were defined in the study of countable models of complete theories. Studies were conducted by analogy with the classic result of R. Vaught on countable-prime models of complete theories, but by other technical means. This work is oriented on the syntactic properties of special subsets of the semantic model of some Jonsson theory. A new concept was also introduced, as a model-theoretic ¾rheostat¿, in order to obtain results related to the refinement of concept of atomicity within the framework of Jonsson theories. Thus, the main purpose of this article is to formally define this ¾rheostat¿ and to obtain on the basis of this concept the results having a relation to the refinement of the concept of atomicity in the frame of Jonsson theories. ru_RU
dc.language.iso en ru_RU
dc.publisher Ye.A.Buketov Karaganda State University Publishing house ru_RU
dc.relation.ispartofseries Қарағанды универисетінің хабаршысы. Математика Сериясы.=Вестник Карагандинского университета. Серия Математика.=Bulletin of the Karaganda University. Mathematics Series.;№ 2(94)/2019
dc.subject Jonsson theory ru_RU
dc.subject semantic model ru_RU
dc.subject existentially prime model ru_RU
dc.subject atomic model ru_RU
dc.subject convexity ru_RU
dc.title The atomic definable subsets of semantic model ru_RU
dc.title.alternative Семинтикалық модельдің атомдық анықталған ішкі жиындары ru_RU
dc.title.alternative Атомные определимые подмножества семинтической модели ru_RU
dc.type Article ru_RU


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