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

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. The main obtained results are as follows: introduced new concepts n 2 - elimination...

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Main Authors: A.R. Yeshkeyev, M.T. Omarova
Format: Article
Language:English
Published: Academician Ye.A. Buketov Karaganda University 2019-12-01
Series:Қарағанды университетінің хабаршысы. Математика сериясы
Subjects:
Online Access:http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/337
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author A.R. Yeshkeyev
M.T. Omarova
author_facet A.R. Yeshkeyev
M.T. Omarova
author_sort A.R. Yeshkeyev
collection DOAJ
description 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. The main obtained results are as follows: introduced new concepts n 2 - elimination of quantifier for positive theory, ( n1,n2) - Jonsson theory, n1-Jonsson chain; indicated a feature of perfect ( n1,n2) - positive Jonsson theory
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last_indexed 2024-03-08T18:39:17Z
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publisher Academician Ye.A. Buketov Karaganda University
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series Қарағанды университетінің хабаршысы. Математика сериясы
spelling doaj.art-c0605660124a4edeb8c9994ce02182d72023-12-29T10:20:37ZengAcademician Ye.A. Buketov Karaganda UniversityҚарағанды университетінің хабаршысы. Математика сериясы2518-79292663-50112019-12-0196410.31489/2019m4/69-74Chains of existentially closed models of positive (n1, n2)-Jonsson theoriesA.R. YeshkeyevM.T. Omarova 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. The main obtained results are as follows: introduced new concepts n 2 - elimination of quantifier for positive theory, ( n1,n2) - Jonsson theory, n1-Jonsson chain; indicated a feature of perfect ( n1,n2) - positive Jonsson theory http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/337( n1,n2) - Jonsson theorypositive (n1, n2)-Jonsson theoryn2-elimination of quantifiern1-Jonsson chain
spellingShingle A.R. Yeshkeyev
M.T. Omarova
Chains of existentially closed models of positive (n1, n2)-Jonsson theories
Қарағанды университетінің хабаршысы. Математика сериясы
( n1,n2) - Jonsson theory
positive (n1, n2)-Jonsson theory
n2-elimination of quantifier
n1-Jonsson chain
title Chains of existentially closed models of positive (n1, n2)-Jonsson theories
title_full Chains of existentially closed models of positive (n1, n2)-Jonsson theories
title_fullStr Chains of existentially closed models of positive (n1, n2)-Jonsson theories
title_full_unstemmed Chains of existentially closed models of positive (n1, n2)-Jonsson theories
title_short Chains of existentially closed models of positive (n1, n2)-Jonsson theories
title_sort chains of existentially closed models of positive n1 n2 jonsson theories
topic ( n1,n2) - Jonsson theory
positive (n1, n2)-Jonsson theory
n2-elimination of quantifier
n1-Jonsson chain
url http://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/337
work_keys_str_mv AT aryeshkeyev chainsofexistentiallyclosedmodelsofpositiven1n2jonssontheories
AT mtomarova chainsofexistentiallyclosedmodelsofpositiven1n2jonssontheories