A criterion for proving noetherianity of a relation (Q1186611)
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scientific article; zbMATH DE number 36850
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A criterion for proving noetherianity of a relation |
scientific article; zbMATH DE number 36850 |
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A criterion for proving noetherianity of a relation (English)
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28 June 1992
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The usual proof of completeness of a binary relation \(\to\) uses a mapping which decreases along \(\to - \) paths. The author shows that a locally confluent relation \(\to\) for which a terminal object in any connected component of \(\to\) and a mapping strictly increasing along \(\to - \) paths exist is complete. The result is applied in order to prove the completeness of a relation occurring in distributive algebras.
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binary relation
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locally confluent relation
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completeness
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distribution algebras
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