On two classes of Hopfian Abelian groups
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 2 (2013), pp. 22-32
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This paper is concerned with hopficity of SP-groups and algebraically compact Abelian groups. Hopficity of SP-groups is reduced to hopficity of their primary components. A full description of Hopfian algebraically compact Abelian groups is presented. An example of a non-Hopfian algebraically compact Abelian group is given.
Keywords:
Abelian group, Hopfian group, mixed group, algebraically compact group.
Mots-clés : SP-group
Mots-clés : SP-group
@article{VTGU_2013_2_a2,
author = {E. V. Kaigorodov},
title = {On two classes of {Hopfian} {Abelian} groups},
journal = {Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika},
pages = {22--32},
publisher = {mathdoc},
number = {2},
year = {2013},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VTGU_2013_2_a2/}
}
E. V. Kaigorodov. On two classes of Hopfian Abelian groups. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 2 (2013), pp. 22-32. http://geodesic.mathdoc.fr/item/VTGU_2013_2_a2/