The underlying group of any finitely generated abelian lattice-ordered group is free (Q997128)
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scientific article; zbMATH DE number 5173465
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The underlying group of any finitely generated abelian lattice-ordered group is free |
scientific article; zbMATH DE number 5173465 |
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The underlying group of any finitely generated abelian lattice-ordered group is free (English)
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20 July 2007
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The authors prove two corollaries. First, that the underlying group of any finitely generated abelian lattice-ordered group is free, and second, that the free abelian lattice-ordered group on a countable set of generators has the underlying abelian group free of countable rank.
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free abelian group
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lattice-ordered group
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