On the Definability of Completely Decomposable Torsion-Free Abelian Groups by Endomorphism Rings and Some Groups of Homomorphisms
Matematičeskie zametki, Tome 101 (2017) no. 4, pp. 576-581
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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.
@article{MZM_2017_101_4_a6,
author = {T. A. Pushkova and A. M. Sebel'din},
title = {On the {Definability} of {Completely} {Decomposable} {Torsion-Free} {Abelian} {Groups} by {Endomorphism} {Rings} and {Some} {Groups} of {Homomorphisms}},
journal = {Matemati\v{c}eskie zametki},
pages = {576--581},
publisher = {mathdoc},
volume = {101},
number = {4},
year = {2017},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_2017_101_4_a6/}
}
TY - JOUR AU - T. A. Pushkova AU - A. M. Sebel'din TI - On the Definability of Completely Decomposable Torsion-Free Abelian Groups by Endomorphism Rings and Some Groups of Homomorphisms JO - Matematičeskie zametki PY - 2017 SP - 576 EP - 581 VL - 101 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/MZM_2017_101_4_a6/ LA - ru ID - MZM_2017_101_4_a6 ER -
%0 Journal Article %A T. A. Pushkova %A A. M. Sebel'din %T On the Definability of Completely Decomposable Torsion-Free Abelian Groups by Endomorphism Rings and Some Groups of Homomorphisms %J Matematičeskie zametki %D 2017 %P 576-581 %V 101 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/item/MZM_2017_101_4_a6/ %G ru %F MZM_2017_101_4_a6
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. Matematičeskie zametki, Tome 101 (2017) no. 4, pp. 576-581. http://geodesic.mathdoc.fr/item/MZM_2017_101_4_a6/