Abstract and Applied Analysis

Reflective Full Subcategories of the Category of L -Posets

Hongping Liu, Qingguo Li, and Xiangnan Zhou

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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.

Article information

Source
Abstr. Appl. Anal., Volume 2012 (2012), Article ID 891239, 11 pages.

Dates
First available in Project Euclid: 28 March 2013

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1364475997

Digital Object Identifier
doi:10.1155/2012/891239

Mathematical Reviews number (MathSciNet)
MR3004895

Zentralblatt MATH identifier
1284.06011

Citation

Liu, Hongping; Li, Qingguo; Zhou, Xiangnan. Reflective Full Subcategories of the Category of $L$ -Posets. Abstr. Appl. Anal. 2012 (2012), Article ID 891239, 11 pages. doi:10.1155/2012/891239. https://projecteuclid.org/euclid.aaa/1364475997


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