On radicals and products (Q1066278)
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scientific article; zbMATH DE number 3925118
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On radicals and products |
scientific article; zbMATH DE number 3925118 |
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On radicals and products (English)
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1985
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An abelian group G is called cotorsion-free if G is torsion-free, reduced and, for each prime p, G does not contain a copy of the p-adic integers. The authors construct, for every cotorsion-free group G, a slender, \(\aleph_ 1\)-free abelian group A such that \(Hom(A,G)=0\). This is used to solve some open problems on radicals and torsion theories of abelian groups.
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cotorsion-free group
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slender, \(\aleph _ 1\)-free abelian group
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radicals
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torsion theories of abelian groups
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