Reflective full subcategories of the category of \(L\)-posets (Q1938322)
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scientific article; zbMATH DE number 6134184
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Reflective full subcategories of the category of \(L\)-posets |
scientific article; zbMATH DE number 6134184 |
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Reflective full subcategories of the category of \(L\)-posets (English)
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4 February 2013
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Summary: This paper focuses on the relationship between \(L\)-posets and complete \(L\)-lattices from the categorical view. By considering a special class of fuzzy closure operators, we prove that the category of complete \(L\)-lattices is a reflective full subcategory of the category of \(L\)-posets with appropriate morphisms. Moreover, we characterize the Dedekind-MacNeille completions of \(L\)-posets and provide an equivalent description for them.
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\(L\)-posets
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\(L\)-lattices
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fuzzy closure operators
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category of complete \(L\)-lattices
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reflective full subcategory
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category of \(L\)-posets
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Dedekind-MacNeille completion
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