Geodesic
On abelian groups, in which all subgroups are ideals
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 3 (2009), pp. 64-67

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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. 
@article{VTGU_2009_3_a5,
     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},
     publisher = {mathdoc},
     number = {3},
     year = {2009},
     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/