Double factorization of the Jonsson spectrum

First of all, we have to note that in this article, we introduced the new concepts of relations between Jonsson theories in the class of cosemanticness for some considered Jonsson spectrum. All consideration of this new approach was done under sufficiently important class of Jonsson theories, which...

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Main Authors: A.R. Yeshkeyev, O.I. Ulbrikht, M.T. Omarova
Format: Article
Language:English
Published: Academician Ye.A. Buketov Karaganda University 2024-12-01
Series:Қарағанды университетінің хабаршысы. Математика сериясы
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Online Access:https://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/889
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author A.R. Yeshkeyev
O.I. Ulbrikht
M.T. Omarova
author_facet A.R. Yeshkeyev
O.I. Ulbrikht
M.T. Omarova
author_sort A.R. Yeshkeyev
collection DOAJ
description First of all, we have to note that in this article, we introduced the new concepts of relations between Jonsson theories in the class of cosemanticness for some considered Jonsson spectrum. All consideration of this new approach was done under sufficiently important class of Jonsson theories, which we called as normal Jonsson theories class. The main result, that we obtained, describes the model-theoretical properties of syntactical and semantical similarities inside the fixed cosemanticness class. For all new concepts in the article, we provided classical samples. The main result of this paper is considering normal Jonsson theories class by similarity to some fixed class of polygons (S-acts).
format Article
id doaj-art-337bd6d0db1b4ec68069d4fc93cb57a7
institution DOAJ
issn 2518-7929
2663-5011
language English
publishDate 2024-12-01
publisher Academician Ye.A. Buketov Karaganda University
record_format Article
series Қарағанды университетінің хабаршысы. Математика сериясы
spelling doaj-art-337bd6d0db1b4ec68069d4fc93cb57a72025-08-20T02:51:11ZengAcademician Ye.A. Buketov Karaganda UniversityҚарағанды университетінің хабаршысы. Математика сериясы2518-79292663-50112024-12-01116410.31489/2024m4/185-196Double factorization of the Jonsson spectrumA.R. Yeshkeyev0https://orcid.org/0000-0003-0149-6143O.I. Ulbrikht1https://orcid.org/0000-0002-3340-2140M.T. Omarova 2https://orcid.org/0000-0003-4520-7964Karaganda Buketov University, Karaganda, KazakhstanKaraganda Buketov University, Karaganda, KazakhstanKaraganda Buketov University, Karaganda, Kazakhstan; Karaganda University of Kazpotrebsoyuz, Karaganda, Kazakhstan First of all, we have to note that in this article, we introduced the new concepts of relations between Jonsson theories in the class of cosemanticness for some considered Jonsson spectrum. All consideration of this new approach was done under sufficiently important class of Jonsson theories, which we called as normal Jonsson theories class. The main result, that we obtained, describes the model-theoretical properties of syntactical and semantical similarities inside the fixed cosemanticness class. For all new concepts in the article, we provided classical samples. The main result of this paper is considering normal Jonsson theories class by similarity to some fixed class of polygons (S-acts). https://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/889Jonsson theoryperfect Jonsson theorynormal Jonsson theoryJonsson setalmost Jonsson setJonsson fragment
spellingShingle A.R. Yeshkeyev
O.I. Ulbrikht
M.T. Omarova
Double factorization of the Jonsson spectrum
Қарағанды университетінің хабаршысы. Математика сериясы
Jonsson theory
perfect Jonsson theory
normal Jonsson theory
Jonsson set
almost Jonsson set
Jonsson fragment
title Double factorization of the Jonsson spectrum
title_full Double factorization of the Jonsson spectrum
title_fullStr Double factorization of the Jonsson spectrum
title_full_unstemmed Double factorization of the Jonsson spectrum
title_short Double factorization of the Jonsson spectrum
title_sort double factorization of the jonsson spectrum
topic Jonsson theory
perfect Jonsson theory
normal Jonsson theory
Jonsson set
almost Jonsson set
Jonsson fragment
url https://mathematics-vestnik.ksu.kz/index.php/mathematics-vestnik/article/view/889
work_keys_str_mv AT aryeshkeyev doublefactorizationofthejonssonspectrum
AT oiulbrikht doublefactorizationofthejonssonspectrum
AT mtomarova doublefactorizationofthejonssonspectrum