Reflective Full Subcategories of the Category of L-Posets
Joint Authors
Zhou, Xiangnan
Liu, Hongping
Li, Qingguo
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-12-24
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Liu, Hongping& Li, Qingguo& Zhou, Xiangnan. 2012. Reflective Full Subcategories of the Category of L-Posets. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-11.
https://search.emarefa.net/detail/BIM-505809
Modern Language Association (MLA)
Liu, Hongping…[et al.]. Reflective Full Subcategories of the Category of L-Posets. Abstract and Applied Analysis No. 2012 (2012), pp.1-11.
https://search.emarefa.net/detail/BIM-505809
American Medical Association (AMA)
Liu, Hongping& Li, Qingguo& Zhou, Xiangnan. Reflective Full Subcategories of the Category of L-Posets. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-11.
https://search.emarefa.net/detail/BIM-505809
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-505809