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On the ideals of torsion-free rings of rank one and two |
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| Authors: | A. Najafizadeh A. M. Aghdam F. Karimi |
| Affiliation: | 1. Mathematics Department, Payame Noor University, Tehran, Iran 2. Department of Mathematics, University of Tabriz, Tabriz, Iran |
| Abstract: | 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. |
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