Reflective Full Subcategories of the Category of -Posets

Hongping Liu, Qingguo Li and Xiangnan Zhou

Abstract and Applied Analysis, 2012, vol. 2012, 1-11

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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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:891239

DOI: 10.1155/2012/891239

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