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
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Atribución-NoComercial 4.0 InternacionalDerechos reservados - Universidad Nacional de Colombiahttp://creativecommons.org/licenses/by-nc/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Muñoz-Quiñones, Gerardo3ae3d931-96f2-4e6f-b1e7-3371fb2843953002019-06-29T08:36:55Z2019-06-29T08:36:55Z2014-06-25https://repositorio.unal.edu.co/handle/unal/49346http://bdigital.unal.edu.co/42803/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.En este artículo se caracterizan los enlaces (bonds) definidos por Wille, mediante unos axiomas menos rígidos que facilitan la definición de la categoría BOND. Como los enlaces generalizan las transformaciones de Chu, se presenta un funtor entre CHU y BOND que es fiel. Además, se proponen los morfismos de Galois, los cuales generalizan los enlaces y permiten crear la categoría MGI (la I indica que invierten el orden). Finalmente, se propone un método general para construir categorías de adjunciones a partir de cualquier categoría. La categoría de adjunciones generada a partir de la categoría de las conexiones de Galois que preservan el orden, denominada MGP (la P indica que preserva el orden), resulta ser equivalente a la categoría MGI.application/pdfspaUniversidad Nacuional de Colombia; Sociedad Colombiana de matemáticashttp://revistas.unal.edu.co/index.php/recolma/article/view/45193Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de MatemáticasRevista Colombiana de MatemáticasRevista Colombiana de Matemáticas; Vol. 48, núm. 1 (2014); 21-40 2357-4100 0034-7426Muñoz-Quiñones, Gerardo (2014) Galois conections, chu mappings and bonds. Revista Colombiana de Matemáticas; Vol. 48, núm. 1 (2014); 21-40 2357-4100 0034-7426 .Galois conections, chu mappings and bondsArtículo de revistainfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1http://purl.org/coar/version/c_970fb48d4fbd8a85Texthttp://purl.org/redcol/resource_type/ARTConexiones de Galoisenlacestransformaciones de ChuGalois connectionsBondsChu mappingsORIGINAL45193-216957-1-SM.pdfapplication/pdf568804https://repositorio.unal.edu.co/bitstream/unal/49346/1/45193-216957-1-SM.pdfef92654622410c9845f72dde14910bc2MD5145193-216970-1-PB.htmltext/html6111https://repositorio.unal.edu.co/bitstream/unal/49346/2/45193-216970-1-PB.html16025e44a370faae058d1143729875ccMD52THUMBNAIL45193-216957-1-SM.pdf.jpg45193-216957-1-SM.pdf.jpgGenerated Thumbnailimage/jpeg5327https://repositorio.unal.edu.co/bitstream/unal/49346/3/45193-216957-1-SM.pdf.jpga00ff6c848dca9164c5ac078cc7a063fMD53unal/49346oai:repositorio.unal.edu.co:unal/493462022-12-14 23:04:00.482Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co |
| dc.title.spa.fl_str_mv |
Galois conections, chu mappings and bonds |
| title |
Galois conections, chu mappings and bonds |
| spellingShingle |
Galois conections, chu mappings and bonds Conexiones de Galois enlaces transformaciones de Chu Galois connections Bonds Chu mappings |
| title_short |
Galois conections, chu mappings and bonds |
| title_full |
Galois conections, chu mappings and bonds |
| title_fullStr |
Galois conections, chu mappings and bonds |
| title_full_unstemmed |
Galois conections, chu mappings and bonds |
| title_sort |
Galois conections, chu mappings and bonds |
| dc.creator.fl_str_mv |
Muñoz-Quiñones, Gerardo |
| dc.contributor.author.spa.fl_str_mv |
Muñoz-Quiñones, Gerardo |
| dc.subject.proposal.spa.fl_str_mv |
Conexiones de Galois enlaces transformaciones de Chu Galois connections Bonds Chu mappings |
| topic |
Conexiones de Galois enlaces transformaciones de Chu Galois connections Bonds Chu mappings |
| description |
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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2014 |
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2014-06-25 |
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2019-06-29T08:36:55Z |
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2019-06-29T08:36:55Z |
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Artículo de revista |
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http://purl.org/coar/resource_type/c_2df8fbb1 |
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info:eu-repo/semantics/article |
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https://repositorio.unal.edu.co/handle/unal/49346 |
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http://bdigital.unal.edu.co/42803/ |
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spa |
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spa |
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http://revistas.unal.edu.co/index.php/recolma/article/view/45193 |
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Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de Matemáticas Revista Colombiana de Matemáticas |
| dc.relation.ispartofseries.none.fl_str_mv |
Revista Colombiana de Matemáticas; Vol. 48, núm. 1 (2014); 21-40 2357-4100 0034-7426 |
| dc.relation.references.spa.fl_str_mv |
Muñoz-Quiñones, Gerardo (2014) Galois conections, chu mappings and bonds. Revista Colombiana de Matemáticas; Vol. 48, núm. 1 (2014); 21-40 2357-4100 0034-7426 . |
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Derechos reservados - Universidad Nacional de Colombia |
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Atribución-NoComercial 4.0 Internacional |
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http://creativecommons.org/licenses/by-nc/4.0/ |
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info:eu-repo/semantics/openAccess |
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