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An isomorphic
refinement theorem for Abelian groups
Robert Breckenridge Warfield, Jr. |
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Vol. 34 (1970), No. 1, 237–255
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Abstract |
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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
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Milestones
Received: 6 November 1969
Published: 1 July 1970
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Authors |
| Robert Breckenridge Warfield, Jr. | |
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