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Direct summands of
direct products of slender modules
John Dacey O’Neill |
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Vol. 117 (1985), No. 2, 379–385
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Abstract |
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Suppose P = ∏ IGi is a direct product of slender R-modules. If |I| is non-measurable and A is a direct summand of P, then A≅∏ JAj where each Aj is isomorphic to a direct summand of a countable direct product of Gi’s. If R = Z and P is a torsion-free reduced abelian group, then, if each Gi has rank one, A is a direct product of rank one groups. |
Mathematical Subject Classification 2000
Primary: 16A53, 16A53
Secondary: 20K25
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Milestones
Received: 14 April 1983
Revised: 13 September 1983
Published: 1 April 1985
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Authors |
| John Dacey O’Neill | |
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