On atomic and algebraically prime models obtained by closure of definable sets


Анықталған жиынының тұйықтау операторы көмегiмен алынған атомдық және алгебралық жай модельдер туралы
Об атомных и алгебраически простых моделях, полученных замыканием определимых множеств
Yeshkeyev A.R. Issayeva A.K. Shamatayeva N.K.
2021E.A.Buketov Karaganda State University Publish House

Bulletin of the Karaganda University. Mathematics Series
2021#103Issue 3124 - 130 pp.

This article discusses the properties of atomic and prime models obtained with the some closure operator given on definable subsets of the semantic model some fixed Jonsson theory. The main result is to obtain the equivalence of the thus defined atomic and prime models, and this coincidence follows the assumption that there is some model with nice-defined properties.

algebraically prime model , atomic model , definable subset , Jonsson theory , pregeometry , prime model , semantic model

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Karagandy University of the Name of Academician E.A. Buketov, Karaganda, Kazakhstan

Karagandy University of the Name of Academician E.A. Buketov

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