A cancellation criterion for finite-rank torsion-free abelian groups
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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.References
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Additional Information
- © Copyright 1985 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 94 (1985), 363-368
- MSC: Primary 20K15; Secondary 20K30
- DOI: https://doi.org/10.1090/S0002-9939-1985-0787873-X
- MathSciNet review: 787873