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Matematicheskie Zametki, 2012, Volume 91, Issue 3, Pages 432–439
DOI: https://doi.org/10.4213/mzm9317 (Mi mzm9317) 		 
On the Ideals of Torsion-Free Rings of Rank One and Two

A. Najafizadeha, A. M. Aghdamb, F. Karimib

a Payame Noor University
b University of Tabriz
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DOI: https://doi.org/10.4213/mzm9317
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.
Keywords: ring over an Abelian group, nil group, torsion-free group, strongly nil subgroup, strongly non-nil subgroup.
Received: 15.03.2011
Revised: 01.05.2011
English version:
Mathematical Notes, 2012, Volume 91, Issue 3, Pages 409–414
DOI: https://doi.org/10.1134/S0001434612030108
Bibliographic databases:
Document Type: Article
UDC: 512.522.12
Language: Russian
Citation: A. Najafizadeh, A. M. Aghdam, F. Karimi, “On the Ideals of Torsion-Free Rings of Rank One and Two”, Mat. Zametki, 91:3 (2012), 432–439; Math. Notes, 91:3 (2012), 409–414
Citation in format AMSBIB
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