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, 2017, Volume 101, Issue 4,Pages <nobr>576

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

T. A. Pushkova^a, A. M. Sebel'din^b

^a Nizhny Novgorod State University of Architecture and Civil Engineering
^b Nizhny Novgorod

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.

UDC: 512.541

Received: 08.01.2016
Revised: 09.06.2016

DOI: 10.4213/mzm11093