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Cancellation of direct sums of countable abelian -groups

Authors:	Rü diger Gö bel Warren May

Institution:	Fachbereich 6, Mathematik und Informatik, Universität Essen, Universitätsstr. 3, 45117 Essen, Germany ; Department of Mathematics, University of Arizona, Tucson, Arizona 85721

Abstract:	Let $B \oplus A_{1} = C \oplus A_{2}$ be abelian groups where $B \cong C$ is a direct sum of countable -groups. A condition is given on the Ulm-Kaplansky -invariants of $B, A_{1}$ and $A_{2}$ such that $A_{1} \cong A_{2}$ .

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