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

Voir la notice de l'article provenant de la source Math-Net.Ru

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. 
@article{MZM_2012_92_1_a3,
     author = {V. K. Vildanov and A. M. Sebel'din},
     title = {The {Question} of the {Definability} of {Abelian} {Groups} by the {Centers} of {Their} {Endomorphism} {Rings}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {44--48},
     publisher = {mathdoc},
     volume = {92},
     number = {1},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2012_92_1_a3/}
}
TY  - JOUR
AU  - V. K. Vildanov
AU  - A. M. Sebel'din
TI  - The Question of the Definability of Abelian Groups by the Centers of Their Endomorphism Rings
JO  - Matematičeskie zametki
PY  - 2012
SP  - 44
EP  - 48
VL  - 92
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_2012_92_1_a3/
LA  - ru
ID  - MZM_2012_92_1_a3
ER  - 
%0 Journal Article
%A V. K. Vildanov
%A A. M. Sebel'din
%T The Question of the Definability of Abelian Groups by the Centers of Their Endomorphism Rings
%J Matematičeskie zametki
%D 2012
%P 44-48
%V 92
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_2012_92_1_a3/
%G ru
%F MZM_2012_92_1_a3
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/