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Matematicheskie Zametki, 2017, Volume 101, Issue 4, Pages 576–581
DOI: https://doi.org/10.4213/mzm11093 (Mi mzm11093) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On the Definability of Completely Decomposable Torsion-Free Abelian Groups by Endomorphism Rings and Some Groups of Homomorphisms

T. A. Pushkovaa, A. M. Sebel'dinb

a Nizhny Novgorod State University of Architecture and Civil Engineering
b Nizhny Novgorod
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DOI: https://doi.org/10.4213/mzm11093
Abstract: In the present paper, we describe conditions on a vector group $C$ which are necessary and sufficient for the class of completely decomposable torsion-free Abelian groups to be a $_CEH$-class.
Keywords: completely decomposable Abelian group, group of homomorphisms, endomorphism ring, definability of Abelian groups.
Received: 08.01.2016
Revised: 09.06.2016
English version:
Mathematical Notes, 2017, Volume 101, Issue 4, Pages 688–692
DOI: https://doi.org/10.1134/S0001434617030269
Bibliographic databases:
Document Type: Article
UDC: 512.541
Language: Russian
Citation: T. A. Pushkova, A. M. Sebel'din, “On the Definability of Completely Decomposable Torsion-Free Abelian Groups by Endomorphism Rings and Some Groups of Homomorphisms”, Mat. Zametki, 101:4 (2017), 576–581; Math. Notes, 101:4 (2017), 688–692
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
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