NDLI: A Cancellation Criterion for Finite-Rank Torsion-Free Abelian Groups

Content Provider	Scilit
Author	Stelzer, J.
Copyright Year	1985
Description	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.
Related Links	http://www.ams.org/proc/1985-94-03/S0002-9939-1985-0787873-X/S0002-9939-1985-0787873-X.pdf
Ending Page	368
Page Count	6
Starting Page	363
ISSN	00029939
e-ISSN	10886826
DOI	10.2307/2045214
Journal	Proceedings of the American Mathematical Society
Issue Number	3
Volume Number	94
Language	English
Publisher	Duke University Press
Access Restriction	Open
Subject Keyword	Logic Mathematical Physics Cancellation Criterion Abelian Groups Rank Torsion Free Abelian Torsion Free Finite Rank
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics

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A Cancellation Criterion for Finite-Rank Torsion-Free Abelian Groups