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

Stelzer, J.

doi:10.1090/S0002-9939-1985-0787873-X

A cancellation criterion for finite-rank torsion-free abelian groups
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Proc. Amer. Math. Soc. 94 (1985), 363-368 Request permission

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.

References

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On direct decompositions of torsion-free abelian groups

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