The category of complete lattices as a category of algebras (Q1262329)
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scientific article; zbMATH DE number 4123786
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The category of complete lattices as a category of algebras |
scientific article; zbMATH DE number 4123786 |
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The category of complete lattices as a category of algebras (English)
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1989
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Complete lattices form an equational class of universal algebras with a proper class of infinitary operations. The author shows that they admit naturally defined operations which are not induced by a term. This strengthens the result that free complete lattices do not exist and the desired operation is constructed as a join of terms used by Hales for the proof of this fact. All such operations are described.
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equational class of universal algebras
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infinitary operations
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complete lattices
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