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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2016, Volume 13, Pages 861–874
DOI: https://doi.org/10.17377/semi.2016.13.068 (Mi semr718) 		 
This article is cited in 16 scientific papers (total in 17 papers)

Mathematical logic, algebra and number theory

$JSp$-cosemanticness and JSB property of Abelian groups

A. R. Yeshkeyev, O. I. Ulbrikht

Academician E.A. Buketov Karaganda State University, st. Universitetskaya, 28, 100028, Karaganda, Kazakhstan
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DOI: https://doi.org/10.17377/semi.2016.13.068
Abstract: The main purpose of this article is to study the model-theoretic properties of Abelian groups within Jonsson theories. The obtained results give us Jonsson analogs for the Schröder–Bernstein property and for the elementary classification of complete theories of Abelian groups.
Keywords: Jonsson theory, model companion, existentially closed model, perfectness, cosemanticness.
Received July 4, 2016, published October 14, 2016
Bibliographic databases:
Document Type: Article
UDC: 510.67
MSC: 03C60, 03C68, 03C10
Language: Russian
Citation: A. R. Yeshkeyev, O. I. Ulbrikht, “$JSp$-cosemanticness and JSB property of Abelian groups”, Sib. Èlektron. Mat. Izv., 13 (2016), 861–874
Citation in format AMSBIB
\Bibitem{EshUlb16}
\by A.~R.~Yeshkeyev, O.~I.~Ulbrikht
\paper $JSp$-cosemanticness and JSB property of Abelian groups
\jour Sib. \`Elektron. Mat. Izv.
\yr 2016
\vol 13
\pages 861--874
\mathnet{http://mi.mathnet.ru/semr718}
\crossref{https://doi.org/10.17377/semi.2016.13.068}
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