Geodesic
Hopfian Abelian groups
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 2 (2012), pp. 5-12

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

This paper presents the general properties of Hopfian Abelian groups, in particular, those related to direct decompositions. The complete description of Hopfian divisible groups is presented; on the basis of this description, the study of hopficity of arbitrary Abelian groups is reduced to the study of hopficity of reduced groups. Direct sums of cyclic groups that are Hopfian groups are characterized.
Keywords: Abelian group, Hopfian group, reduced group, cyclic group.
Mots-clés : divisible group 
@article{VTGU_2012_2_a0,
     author = {E. V. Kaigorodov},
     title = {Hopfian {Abelian} groups},
     journal = {Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika},
     pages = {5--12},
     publisher = {mathdoc},
     number = {2},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTGU_2012_2_a0/}
}
TY  - JOUR
AU  - E. V. Kaigorodov
TI  - Hopfian Abelian groups
JO  - Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika
PY  - 2012
SP  - 5
EP  - 12
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VTGU_2012_2_a0/
LA  - ru
ID  - VTGU_2012_2_a0
ER  - 
%0 Journal Article
%A E. V. Kaigorodov
%T Hopfian Abelian groups
%J Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika
%D 2012
%P 5-12
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VTGU_2012_2_a0/
%G ru
%F VTGU_2012_2_a0
E. V. Kaigorodov. Hopfian Abelian groups. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 2 (2012), pp. 5-12. http://geodesic.mathdoc.fr/item/VTGU_2012_2_a0/