Reflective Full Subcategories of the Category of L‐Posets

Hongping Liu, Qingguo Li and Xiangnan Zhou

Abstract and Applied Analysis, 2012, vol. 2012, issue 1

Abstract: 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.

Date: 2012
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https://doi.org/10.1155/2012/891239

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:891239

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