Vol. 34, No. 1, 1970

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An isomorphic refinement theorem for Abelian groups

Robert Breckenridge Warfield, Jr.

Vol. 34 (1970), No. 1, 237–255
Abstract

In this paper we find a class 𝒞 of Abelian groups with the property that if a group A is a direct sum of groups in the class 𝒞, then any two direct sum decompositions of A have isomorphic refinements. The class 𝒞 includes those groups which are complete and Hausdorff in their natural topology and also the torsion-complete p-groups.

Mathematical Subject Classification
Primary: 20.30
Secondary: 22.00
Milestones
Received: 6 November 1969
Published: 1 July 1970
Authors
Robert Breckenridge Warfield, Jr.