Geodesic
On abelian groups, in which all subgroups are ideals
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 3 (2009), pp. 64-67 Cet article a éte moissonné depuis la source Math-Net.Ru

Original article notice

The abelian groups, in which all subgroups are ideals in each of ring, given on group, are described. The conditions on types of direct summands of rank 1 of torsion free separable and vector groups, under which these groups are nil groups, are found.
Keywords: addition groups of the rings, nil groups. 
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     author = {A. R. Chekhlov},
     title = {On abelian groups, in which all subgroups are ideals},
     journal = {Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika},
     pages = {64--67},
     year = {2009},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTGU_2009_3_a5/}
}
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A. R. Chekhlov. On abelian groups, in which all subgroups are ideals. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 3 (2009), pp. 64-67. http://geodesic.mathdoc.fr/item/VTGU_2009_3_a5/

[1] Fried E., “On the subgroups of an abelian group that are ideals in every ring”, Proc. Colloq. Abelian Groups, Budapest, 1964, 51–55 | MR | Zbl

[2] Fuks L., Beskonechnye abelevy gruppy, v. 1, Mir, M., 1974; т. 2, 1977

[3] Feigelstock S., Additive Groups of Rings, Pitman, Boston–London, 1983 | MR | Zbl