Some classes of Hopfian Abelian groups
Fundamentalʹnaâ i prikladnaâ matematika, Tome 17 (2012) no. 8, pp. 59-61.

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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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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/

[1] Kaigorodov E. V., “O khopfovosti additivnykh grupp nekotorykh kolets”, Sovremennye problemy matematiki i mekhaniki, III Vserossiiskaya molodëzhnaya nauchnaya konferentsiya (Tomsk, 23–25 aprelya 2012 g.), Sb. trudov konferentsii, Tomsk. gos. univ., Tomsk, 2012

[2] Kaigorodov E. V., “Khopfovy abelevy gruppy”, Vestn. Tomsk. gos. univ. Matematika i mekhanika., 2012, no. 2(18), 92–99

[3] Krylov P. A., Mikhalëv A. V., Tuganbaev A. A., Abelevy gruppy i ikh koltsa endomorfizmov, Faktorial Press, M., 2006

[4] Krylov P. A., Tuganbaev A. A., Chekhlov A. R., Uprazhneniya po gruppam, koltsam i polyam, Tomsk. gos. univ., Tomsk, 2008