Geodesic
On the subgroups of completely decomposable torsion-free groups that are ideals in every ring
Archivum mathematicum, Tome 48 (2012) no. 2, pp. 107-112 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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In this paper we consider completely decomposable torsion-free groups and we determine the subgroups which are ideals in every ring over such groups.
In this paper we consider completely decomposable torsion-free groups and we determine the subgroups which are ideals in every ring over such groups.
DOI : 10.5817/AM2012-2-107
Classification : 20K15
Keywords: completely decomposable group; type; ring 
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Aghdam, A. M.; Karimi, F.; Najafizadeh, A. On the subgroups of completely decomposable torsion-free groups that are ideals in every ring. Archivum mathematicum, Tome 48 (2012) no. 2, pp. 107-112. doi: 10.5817/AM2012-2-107

[1] Aghdam, A. M., Najafizadeh, A.: Square subgroups of rank two abelian groups. Colloq. Math. 117 (1) (2009), 19–28. | DOI | MR | Zbl

[2] Fried, E.: On the subgroups of an abelian group that are ideals in every ring. Proc. Colloq. Abelian groups, Budapest, 1964, pp. 51–55. | MR | Zbl

[3] Fuchs, L.: Infinite abelian groups. Academic Press, New York–London, 1973. | MR | Zbl

[4] Najafizadeh, A., Aghdam, A. M., Karimi, F.: On the ideals of torsion–free rings of rank one and two. Math. Notes (to appear).

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