Geodesic
Some classes of Hopfian Abelian groups
Fundamentalʹnaâ i prikladnaâ matematika, Tome 17 (2012) no. 8, pp. 59-61 
E. V. Kaygorodov. Some classes of Hopfian Abelian groups. Fundamentalʹnaâ i prikladnaâ matematika, Tome 17 (2012) no. 8, pp. 59-61. http://geodesic.mathdoc.fr/item/FPM_2012_17_8_a7/
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     author = {E. V. Kaygorodov},
     title = {Some classes of {Hopfian} {Abelian} groups},
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     url = {http://geodesic.mathdoc.fr/item/FPM_2012_17_8_a7/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

This paper describes the Hopfian groups in some classes of Abelian groups. 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. Finally, the paper looks at specific examples of rings whose additive groups are Hopfian.

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