A note on commutative \(\ell\)-groups (Q1117957)
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scientific article; zbMATH DE number 4093528
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on commutative \(\ell\)-groups |
scientific article; zbMATH DE number 4093528 |
Statements
A note on commutative \(\ell\)-groups (English)
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1988
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The authors present an elementary proof of the well-known fact that any commutative \(\ell\)-group is distributive. This result holds even in the non-commutative case, but in the commutative case the authors were able to avoid the use of the fact that a lattice is distributive if and only if it is meet and join cancellative.
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lattice ordered groups
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distributive
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meet and join cancellative
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