A fragment of a theoretical set and its strongly minimal central type
Теоретикалық жиынның фрагментi және оның қатты минималды централдық типi
Фрагмент теоретического множества и его сильно минимальный центральный тип
Ulbrikht O.I. Popova N.V.
2023E.A. Buketov Karaganda University Publish house
Bulletin of the Karaganda University. Mathematics Series
2023#111Issue 3152 - 164 pp.
The paper defines a new class of algebras, the theory of which is a special case of Jonsson theories. This class applies to both varieties and Jonsson theories. The main results of this article are the following two results. In this article, an answer is obtained to the question of the equivalence of existential closure and algebraic closure of the model of the cosemantic class of a fixed spectrum of a Robinson hereditary variety. A criterion for strong minimality is obtained in the framework of the study of central types of central classes and fragments of a fixed spectrum.
algebraically closed model , central type , cosemanticness , existentially closed model , Jonsson fragment , Jonsson theory , Robinson hereditary variety , Robinson spectrum , strongly minimal type , theoretical set
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Karaganda University of the Name of Academician E.A. Buketov, Institute of Applied Mathematics, Karaganda, Kazakhstan
Karaganda University of the Name of Academician E.A. Buketov
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