Geodesic
The Question of the Definability of Abelian Groups by the Centers of Their Endomorphism Rings
Matematičeskie zametki, Tome 92 (2012) no. 1, pp. 44-48.

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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. 
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V. K. Vildanov; A. M. Sebel'din. The Question of the Definability of Abelian Groups by the Centers of Their Endomorphism Rings. Matematičeskie zametki, Tome 92 (2012) no. 1, pp. 44-48. http://geodesic.mathdoc.fr/item/MZM_2012_92_1_a3/

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