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Matematicheskie Zametki, 2012, Volume 92, Issue 1, Pages 44–48
DOI: https://doi.org/10.4213/mzm8574 (Mi mzm8574) 		 
The Question of the Definability of Abelian Groups by the Centers of Their Endomorphism Rings

V. K. Vildanov, A. M. Sebel'din

Nizhny Novgorod State Pedagogical University
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DOI: https://doi.org/10.4213/mzm8574
Abstract: We obtain necessary and sufficient conditions for an Abelian group in the class of completely decomposable torsion-free Abelian groups of a chosen finite rank to be definable in this class by the center of the endomorphism ring of the group.
Keywords: completely decomposable torsion-free Abelian group, endomorphism ring, center of the endomorphism ring, almost divisible group.
Received: 25.07.2009
Revised: 26.05.2011
English version:
Mathematical Notes, 2012, Volume 92, Issue 1, Pages 39–42
DOI: https://doi.org/10.1134/S0001434612070048
Bibliographic databases:
Document Type: Article
UDC: 512.541
Language: Russian
Citation: V. K. Vildanov, A. M. Sebel'din, “The Question of the Definability of Abelian Groups by the Centers of Their Endomorphism Rings”, Mat. Zametki, 92:1 (2012), 44–48; Math. Notes, 92:1 (2012), 39–42
Citation in format AMSBIB
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