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Reflective Full Subcategories of the Category of -Posets

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  • Hongping Liu
  • Qingguo Li
  • Xiangnan Zhou

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.

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  • Hongping Liu & Qingguo Li & Xiangnan Zhou, 2012. "Reflective Full Subcategories of the Category of -Posets," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-11, December.
    • Handle: RePEc:hin:jnlaaa:891239
    DOI: 10.1155/2012/891239
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    Cited by:

    1. Overman, Han & Cummings, Anthony R. & Luzar, Jeffrey B. & Fragoso, Jose M.V., 2019. "National REDD+ outcompetes gold and logging: The potential of cleaning profit chains," World Development, Elsevier, vol. 118(C), pages 16-26.

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