Geodesic
On the Ideals of Torsion-Free Rings of Rank One and Two
Matematičeskie zametki, Tome 91 (2012) no. 3, pp. 432-439

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Let $A$ be a torsion-free abelian group of rank one or two. We use the type set of $A$ to give necessary and sufficient conditions for the subgroups of $A$ to be ideals in every ring on $A$.
Keywords: ring over an Abelian group, strongly nil subgroup, strongly non-nil subgroup.
Mots-clés : nil group, torsion-free group 
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     title = {On the {Ideals} of {Torsion-Free} {Rings} of {Rank} {One} and {Two}},
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A. Najafizadeh; A. M. Aghdam; F. Karimi. On the Ideals of Torsion-Free Rings of Rank One and Two. Matematičeskie zametki, Tome 91 (2012) no. 3, pp. 432-439. http://geodesic.mathdoc.fr/item/MZM_2012_91_3_a9/