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. 
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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/

[1] Kompantseva E. I., “Koltsa bez krucheniya”, Fundament. i prikl. mat., 15:8 (2009), 95–143 | MR

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

[3] Fuks L., Beskonechnye abelevy gruppy, v. 2, Mir, M., 1977

[4] Chekhlov A. R., “Ob abelevykh gruppakh, vse podgruppy kotorykh yavlyayutsya idealami”, Vestn. Tomsk. gos. un-ta. Mat. i mekh., 2009, no. 3, 64–67

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