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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2019, Volume 16, Pages 1233–1244
DOI: https://doi.org/10.33048/semi.2019.16.084 (Mi semr1125) 		 
This article is cited in 13 scientific papers (total in 14 papers)

Mathematical logic, algebra and number theory

$JSp$-cosemanticness of $R$-modules

A. R. Eshkeev, O. I. Ulbrikht

Buketov Karaganda State University, 28, Universitetskaya str., Karaganda, 100028, Kazakhstan
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DOI: https://doi.org/10.33048/semi.2019.16.084
Abstract: The main purpose of this article is to study the model-theoretic properties of $R$-modules within Jonsson theories. We obtain a criterion of $JSp$-cosemanticness of $R$-modules, which generalizes the elementary equivalence of modules. We describe countably categorical perfect existentially closed Jonsson $R$-modules.
Keywords: Jonsson theory, model companion, existentially closed model, perfectness, cosemanticness, $R$-modules.
Received October 3, 2018, published September 10, 2019
Bibliographic databases:
Document Type: Article
UDC: 510.67
MSC: 03C60, 03C68, 03C10
Language: Russian
Citation: A. R. Eshkeev, O. I. Ulbrikht, “$JSp$-cosemanticness of $R$-modules”, Sib. Èlektron. Mat. Izv., 16 (2019), 1233–1244
Citation in format AMSBIB
\Bibitem{EshUlb19}
\by A.~R.~Eshkeev, O.~I.~Ulbrikht
\paper $JSp$-cosemanticness of $R$-modules
\jour Sib. \`Elektron. Mat. Izv.
\yr 2019
\vol 16
\pages 1233--1244
\mathnet{http://mi.mathnet.ru/semr1125}
\crossref{https://doi.org/10.33048/semi.2019.16.084}
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    • This publication is cited in the following 14 articles:
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