Geodesic
Torsion abelian $afi$-groups
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 4 (2011), pp. 18-22

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A subgroup $A$ of an abelian group $G$ is called its absolute ideal if $A$ is an ideal of any ring on $G$. An abelian group is called an $afi$-group if every its absolute ideal is a fully invariant subgroup. In this paper descriptions of afi-groups in the class of fully-transitive torsion groups (particularly, separable torsion groups) and divisible torsion groups are given.
Keywords: abelian group, ring on a group, absolute ideal, fully invariant subgroup
Mots-clés : $afi$-group. 
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     author = {Pham Thi Thu Thuy},
     title = {Torsion abelian $afi$-groups},
     journal = {Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika},
     pages = {18--22},
     publisher = {mathdoc},
     number = {4},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTGU_2011_4_a2/}
}
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Pham Thi Thu Thuy. Torsion abelian $afi$-groups. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 4 (2011), pp. 18-22. http://geodesic.mathdoc.fr/item/VTGU_2011_4_a2/