Some investigations of varieties of \({\mathcal N}\)-lattices (Q1071022)
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scientific article; zbMATH DE number 3937184
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some investigations of varieties of \({\mathcal N}\)-lattices |
scientific article; zbMATH DE number 3937184 |
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Some investigations of varieties of \({\mathcal N}\)-lattices (English)
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1984
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The author studies some important properties of varieties of N-lattices, which are algebraic models of constructive propositional logic with strong negation. Using the technique of posets enriched by a unary operation, he proves that there are only 3 pretabular varieties of N- lattices and only 6 preprimitive varieties of N-lattices (a variety is primitive if each of its subquasivarieties is a variety, and it is preprimitive if it is not primitive, but any of its proper subvarieties is primitive).
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Heyting algebra
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algebraic models of constructive propositional logic with strong
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negation
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posets
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pretabular varieties
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preprimitive varieties
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algebraic models of constructive propositional logic with strong negation
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