Geodesic
Torsion Abelian RAI-groups
Fundamentalʹnaâ i prikladnaâ matematika, Tome 17 (2012) no. 8, pp. 109-138

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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 RAI-group if there exists a ring on it in which every ideal is absolute. The problem of describing RAI-groups was formulated by L. Fuchs (Problem 93). In this paper, absolute ideals of torsion Abelian groups and torsion Abelian RAI-groups are described. 
@article{FPM_2012_17_8_a12,
     author = {Pham Thi Thu Thuy},
     title = {Torsion {Abelian} {RAI-groups}},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {109--138},
     publisher = {mathdoc},
     volume = {17},
     number = {8},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2012_17_8_a12/}
}
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Pham Thi Thu Thuy. Torsion Abelian RAI-groups. Fundamentalʹnaâ i prikladnaâ matematika, Tome 17 (2012) no. 8, pp. 109-138. http://geodesic.mathdoc.fr/item/FPM_2012_17_8_a12/