Profinite completions and canonical extensions of Heyting algebras (Q862977)
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scientific article; zbMATH DE number 5118502
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Profinite completions and canonical extensions of Heyting algebras |
scientific article; zbMATH DE number 5118502 |
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Profinite completions and canonical extensions of Heyting algebras (English)
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25 January 2007
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Necessary and sufficient conditions are obtained for the profinite completion of a Heyting algebra to coincide with its canonical extension. This provides a new criterion for a variety of Heyting algebras to be finitely generated, and a new proof of the fact that every finitely generated variety of Heyting algebras is canonical.
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profinite completion
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canonical extension
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duality theory
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Heyting algebra
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