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On Jonsson varieties and quasivarieties [PDF]

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2021
In this paper, new objects of research are identified, both from the standpoint of model theory and from the standpoint of universal algebra.
A.R. Yeshkeyev
doaj   +3 more sources

Forcing companions of Jonsson AP-theories [PDF]

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2022
This article is devoted to the study of the forcing companions of the Jonsson AP-theories in the enriched signature. It is proved that the forcing companion of the theory does not change when expanding the theories under consideration, which have some ...
A.R. Yeshkeyev   +2 more
doaj   +2 more sources

Geometry of strongly minimal hybrids of fragments of theoretical sets [PDF]

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2023
In this article, strongly minimal geometries of fragment hybrids are considered. In this article, a new concept was introduced as a family of Jonsson definable subsets of the semantic model of the Jonsson theory T, denoted by JDef(CT).
M.T. Kassymetova, N.M. Mussina
doaj   +2 more sources

Method of the rheostat for studying properties of fragments of theoretical sets

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2020
In this article discusses the model-theoretical properties of fragments of theoretical sets and the rheostat method. These two concepts: theoretical set and rheostat are new. The study of this topic in the framework of the study of Jonsson theories, the
A.R. Yeshkeyev
doaj   +1 more source

Small models of convex fragments of definable subsets

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2020
This article discusses the problems of that part of Model Theory that studies the properties of countable models of inductive theories with additional properties, or, in other words, Jonsson theories.
A.R. Yeshkeyev, N.V. Popova
doaj   +1 more source

An essential base of the central types of the convex theory

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2021
In this paper, we consider the model-theoretical properties of the essential base of the central types of convex theory. Also shows the connection between the center and Jonsson theory in permissible enrichment signatures.
A.R. Yeshkeyev, M.T. Omarova
doaj   +1 more source

An algebra of the central types of the mutually model-consistent fragments

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2021
In this paper, the model-theoretical properties of the algebra of central types of mutually model-consistent fragments are considered. Also, the connections between the center and the Jonsson theory in the permissible signature enrichment are shown, and
A.R. Yeshkeyev, N.M. Mussina
doaj   +1 more source

Сompanions of (n1, n2)-Jonsson theory

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2019
In given work are considered model - theoretical properties of companions of (n1; n2) - Jonsson theory. Also were considered a communications between center and (n1; n2) - Jonsson theory.
A.R. Yeshkeyev, M.T. Omarova
doaj   +1 more source

On Robinson spectrum of the semantic Jonsson quasivariety of unars [PDF]

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2023
Given article is devoted to the study of semantic Jonsson quasivariety of universal unars of signature containing only unary functional symbol. The first section of the article consists of basic necessary concepts.
A.R. Yeshkeyev   +3 more
doaj   +2 more sources

Chains of existentially closed models of positive (n1, n2)-Jonsson theories

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2019
In this article are considered model - theoretical properties of chains of positive ( n1,n2) - Jonsson theories. Herewith considered theories is perfect in the sense of the existence of appropriate model companion.
A.R. Yeshkeyev, M.T. Omarova
doaj   +1 more source

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