Reflective Full Subcategories of the Category of L-Posets
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 morphi...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/891239 |
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| _version_ | 1832545748105822208 |
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| author | Hongping Liu Qingguo Li Xiangnan Zhou |
| author_facet | Hongping Liu Qingguo Li Xiangnan Zhou |
| author_sort | Hongping Liu |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-e58a30bef70d4f9a91c525e2c4387cd7 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-e58a30bef70d4f9a91c525e2c4387cd72025-02-03T07:24:53ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/891239891239Reflective Full Subcategories of the Category of L-PosetsHongping Liu0Qingguo Li1Xiangnan Zhou2College of Mathematics and Econometrics, Hunan University, Changsha 410082, ChinaCollege of Mathematics and Econometrics, Hunan University, Changsha 410082, ChinaCollege of Mathematics and Econometrics, Hunan University, Changsha 410082, ChinaThis 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.http://dx.doi.org/10.1155/2012/891239 |
| spellingShingle | Hongping Liu Qingguo Li Xiangnan Zhou Reflective Full Subcategories of the Category of L-Posets Abstract and Applied Analysis |
| title | Reflective Full Subcategories of the Category of L-Posets |
| title_full | Reflective Full Subcategories of the Category of L-Posets |
| title_fullStr | Reflective Full Subcategories of the Category of L-Posets |
| title_full_unstemmed | Reflective Full Subcategories of the Category of L-Posets |
| title_short | Reflective Full Subcategories of the Category of L-Posets |
| title_sort | reflective full subcategories of the category of l posets |
| url | http://dx.doi.org/10.1155/2012/891239 |
| work_keys_str_mv | AT hongpingliu reflectivefullsubcategoriesofthecategoryoflposets AT qingguoli reflectivefullsubcategoriesofthecategoryoflposets AT xiangnanzhou reflectivefullsubcategoriesofthecategoryoflposets |