Galois conections, chu mappings and bonds
In this paper we characterize bonds, as defined by Wille, by employing a less rigid set of axioms thus enabling the definition of the category BOND. Since bonds generalize Chu mappings we present a faithful functor between CHU and BOND. Moreover, we propose the Galois morphisms generalizing bonds; t...
- Autores:
-
Muñoz-Quiñones, Gerardo
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 2014
- Institución:
- Universidad Nacional de Colombia
- Repositorio:
- Universidad Nacional de Colombia
- Idioma:
- spa
- OAI Identifier:
- oai:repositorio.unal.edu.co:unal/49346
- Acceso en línea:
- https://repositorio.unal.edu.co/handle/unal/49346
http://bdigital.unal.edu.co/42803/
- Palabra clave:
- Conexiones de Galois
enlaces
transformaciones de Chu
Galois connections
Bonds
Chu mappings
- Rights
- openAccess
- License
- Atribución-NoComercial 4.0 Internacional
| Summary: | In this paper we characterize bonds, as defined by Wille, by employing a less rigid set of axioms thus enabling the definition of the category BOND. Since bonds generalize Chu mappings we present a faithful functor between CHU and BOND. Moreover, we propose the Galois morphisms generalizing bonds; this allows us to define the category MGI. Lastly, we suggest a general method to construct categories of adjunctions from any given category. The category of adjunctions generated from the category of order-preserving Galois connections, namedMGP, turns out to be equivalent to the category MGI. |
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