Grothendieck-like duality for Heyting algebras. (Q1771914)
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scientific article; zbMATH DE number 2158777
| Language | Label | Description | Also known as |
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| English | Grothendieck-like duality for Heyting algebras. |
scientific article; zbMATH DE number 2158777 |
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Grothendieck-like duality for Heyting algebras. (English)
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19 April 2005
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A. Brezuleanu and R. Diaconescu established a sheaf duality theory for the category of bounded distributive lattices. Their ideas come from the well-known Grothendieck duality of commutative rings. The multipliers in lattice theory were used by J. Schmid in order to give a construction of the maximal lattice of quotients for a distributive lattice. In the present paper the authors use the multipliers in order to define a sheaf duality theorem for the category of Heyting algebras.
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Heyting algebra
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sheaf duality
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