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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
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
Citation:
A. R. Yeshkeyev, O. I. Ulbrikht, “$JSp$-cosemanticness and JSB property of Abelian groups”, Sib. Èlektron. Mat. Izv., 13 (2016), 861–874
Linking options:
https://www.mathnet.ru/eng/semr718 https://www.mathnet.ru/eng/semr/v13/p861
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