Tensor products of torsion free Abelian groups of finite rank. (Q1076812)
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scientific article; zbMATH DE number 3955234
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Tensor products of torsion free Abelian groups of finite rank. |
scientific article; zbMATH DE number 3955234 |
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Tensor products of torsion free Abelian groups of finite rank. (English)
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1985
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The author gives a set of criteria which are necessary and sufficient for a torsion-free abelian group B of finite rank to be a tensor product of s torsion-free abelian groups. The characterization is quite technical involving a fixed embedding of B into a vector space and the geometric concept of a Segre manifold. Applications are given to show that a representation of a torsion-free abelian group of finite rank as a tensor product need not be unique.
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torsion-free abelian group
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tensor product
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Segre manifold
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