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Existentially prime Jonsson quasivarieties and their Jonsson spectra [PDF]

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2022
This article is devoted to the study of Jonsson quasivarieties in a signature enriched with new predicate and constant symbols. New concepts of semantic Jonsson quasivariety and fragment-conservativeness of the center of the Jonsson theory are ...
A. R. Yeshkeyev   +2 more
doaj   +4 more sources

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   +4 more sources

Existential prime convex Jonsson theories and their models

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2016
This article is devoted to the study of the model - theoretic properties of special subclasses of Jonsson theories and their classes of models. Namely, introduce a new class of Jonsson theories is existentially prime convex Jonsson theories.
A.R. Yeshkeyev
doaj   +3 more sources

On categoricity questions for universal unars and undirected graphs under semantic Jonsson quasivariety [PDF]

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2023
The article is devoted to the study of semantic Jonsson quasivarieties of universal unars and undirected graphs. The first section of the article consists of basic necessary concepts from Jonsson model theory.
A.R. Yeshkeyev   +2 more
doaj   +3 more sources

Connection between the amalgam and joint embedding properties [PDF]

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2022
The paper aims to study the model-theoretic properties of differentially closed fields of zero and positive characteristics in framework of study of Jonsson theories.
A.R. Yeshkeyev   +2 more
doaj   +4 more sources

Properties of a stability for positive Jonsson theories

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2015
Actually, we study the connections of the Δ-PM-theories with their centers in the enrich signature. The properties of various companions of some Δ-PM-theories and their connection with this theory are considered on the language of the central types of ...
A.R. Yeshkeyev
doaj   +3 more sources

Syntactic similarity of definable closures of Jonsson sets

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2018
In the framework of the classification of the Jonsson theories concept of interpretability and admissibility in the language of the semantic triple of the Jonsson theory was considered.
G.A. Urken
doaj   +3 more sources

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   +4 more sources

The admissibility and similarity of Jonsson theories

open access: yesBULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS, 2018
This work is related to the concepts of admissibility, interpretability, syntactic similarity and semantic similarity of Jonsson’s theories.This new concept generalize the notion of syntactic and semantic similarities for Jonsson theories. In the frame of study of preservation of the definable formulas subsets of Jonsson theory’s semantic model ...
A.R. Yeshkeyev, G.A. Urken
openaire   +4 more sources

Properties of hybrids of Jonsson theories

open access: yesBULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS, 2018
This work is an introduction to the study of the properties of a new concept, as a hybrid of Jonsson theories. We define the basic concepts and framework for studying the model-theoretic properties of these concepts. The main goal of this paper is to study the model-theoretic properties of companions of hybrids of Jonsson theories.
A.R. Yeshkeyev, N.M. Mussina
openaire   +4 more sources

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