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Matematicheskie Zametki, 2017, Volume 101, Issue 6, paper published in the English version journal
(Mi mzm10495)
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This article is cited in 2 scientific papers (total in 2 papers)
Papers published in the English version of the journal
Existentially closed structures and some embedding theorems
M. Shahryari Department of Pure Mathematics, Faculty of Mathematical Sciences,
University of Tabriz, Tabriz, Iran
Abstract:
Using the notion of existentially closed structures, we obtain
embedding theorems for groups and Lie algebras. We also prove the
existence of some groups and Lie algebras with prescribed
properties.
Keywords:
Algebraically closedness; Existentially closedness;
Existentially completeness; Inductive classes; Axiom of choice;
Embedding of groups and Lie algebras; HNN-extension.
Received: 21.05.2014
Citation:
M. Shahryari, “Existentially closed structures and some embedding theorems”, Math. Notes, 101:6 (2017), 1023–1032
Linking options:
https://www.mathnet.ru/eng/mzm10495
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