Duality and canonical extensions of bounded distributive lattices with operators, and applications to the semantics of non-classical logics. I (Q1970594)
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scientific article; zbMATH DE number 1420238
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Duality and canonical extensions of bounded distributive lattices with operators, and applications to the semantics of non-classical logics. I |
scientific article; zbMATH DE number 1420238 |
Statements
Duality and canonical extensions of bounded distributive lattices with operators, and applications to the semantics of non-classical logics. I (English)
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14 November 2000
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In this paper the author presents an extension of the Priestly duality to distributive lattices with operators in the following classes: lattice homomorphisms and antimorphisms; and joint- and meet-homomorphisms. The author proves that certain classes of distributive lattices with operators which are not necessarily order-preserving are closed under canonical embedding algebras.
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Pristley duality
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distributive lattices with operators
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canonical embedding algebras
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