Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



A cancellation criterion for finite-rank torsion-free abelian groups

Author: J. Stelzer
Journal: Proc. Amer. Math. Soc. 94 (1985), 363-368
MSC: Primary 20K15; Secondary 20K30
MathSciNet review: 787873
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Abstract: In this paper, a necessary ring-theoretical criterion is given for a finite-rank torsion-free abelian group to have the cancellation property. This generalizes results obtained by L. Fuchs and F. Loonstra [5] for the rank-one case and resolves the cancellation problem for strongly indecomposable groups.

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Keywords: Finite-rank torsion-free abelian groups, cancellation property
Article copyright: © Copyright 1985 American Mathematical Society