Hopfian completely decomposable torsion-free groups
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 4 (2013), pp. 24-28 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The paper is devoted to the study of the property of Hopficity in a well-known class of Abelian groups — completely decomposable groups. An example of a non-Hopfian completely decomposable torsion-free group is presented.
Keywords: Abelian group, Hopfian group, completely decomposable group, homogeneous group
Mots-clés : torsion-free group.
@article{VTGU_2013_4_a2,
     author = {E. V. Kaygorodov},
     title = {Hopfian completely decomposable torsion-free groups},
     journal = {Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika},
     pages = {24--28},
     year = {2013},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTGU_2013_4_a2/}
}
TY  - JOUR
AU  - E. V. Kaygorodov
TI  - Hopfian completely decomposable torsion-free groups
JO  - Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika
PY  - 2013
SP  - 24
EP  - 28
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/VTGU_2013_4_a2/
LA  - ru
ID  - VTGU_2013_4_a2
ER  - 
%0 Journal Article
%A E. V. Kaygorodov
%T Hopfian completely decomposable torsion-free groups
%J Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika
%D 2013
%P 24-28
%N 4
%U http://geodesic.mathdoc.fr/item/VTGU_2013_4_a2/
%G ru
%F VTGU_2013_4_a2
E. V. Kaygorodov. Hopfian completely decomposable torsion-free groups. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 4 (2013), pp. 24-28. http://geodesic.mathdoc.fr/item/VTGU_2013_4_a2/

[1] Kaigorodov E. V., “Khopfovy abelevy gruppy”, Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika, 2012, no. 2 (18), 5–12

[2] Kaigorodov E. V., “O dvukh klassakh khopfovykh abelevykh grupp”, Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika, 2013, no. 2 (22), 22–33

[3] Fuks L., Beskonechnye abelevy gruppy, v 2 t., v. 2, Mir, M., 1977, 417 pp.

[4] Krylov P. A., Mikhalev A. V., Tuganbaev A. A., Abelevy gruppy i ikh koltsa endomorfizmov, Faktorial Press, M., 2006, 512 pp.

[5] Kurosh A. G., Lektsii po obschei algebre, Nauka, M., 1973, 400 pp.

[6] Arnold David M., Finite Rank Torsion Free Abelian Groups and Rings, Lecture Notes in Mathematics, Springer-Verlag, Berlin–Heidelberg–New York, 1982 | MR | Zbl