Geodesic
Hopfian Abelian groups
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 2 (2012), pp. 5-12 Cet article a éte moissonné depuis la source Math-Net.Ru

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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 
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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/

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