a1 Department of Mathematics, Auburn University, Auburn, AL 36849, USA (email: [email protected])
a2 ‘Babeş-Bolyai’ University, Faculty of Mathematics and Computer Science, Str. Mihail Kogălniceanu 1, 400084 Cluj-Napoca, Romania (email: [email protected])
a3 Department of Mathematics, University of Connecticut, Storrs, CT 06269, USA (email: [email protected])
This paper investigates self-small abelian groups of finite torsion-free rank. We obtain a new characterization of infinite self-small groups. In addition, self-small groups of torsion-free rank 1 and their finite direct sums are discussed.
(Received October 23 2008)
2000 Mathematics subject classification
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The second author is supported by grant no. PN2CD ID-489.