Algebras with implication and fusion : A different point of view
- Autores
- Castiglioni, José Luis; San Martín, Hernán Javier
- Año de publicación
- 2013
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- This work uses well-known results on tensor products of lattices and semilattices developed by Fraser and Grätzer et al., and the duality for bounded distributive lattices introduced by Cignoli et al., in order to develop dual categorical equivalences involving bounded distributive lattices with fusion and implication, respectively. We show that these equivalences are essentially those developed by Cabrer and Celani as part of the PhD thesis of the former.
Departamento de Matemática - Materia
-
Matemática
Ciencias Exactas
bounded distributive lattice
fusion
implication
join-homomorphism
semilattice tensor product
representation theory - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- http://creativecommons.org/licenses/by/4.0/
- Repositorio
- Institución
- Universidad Nacional de La Plata
- OAI Identificador
- oai:sedici.unlp.edu.ar:10915/142080
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Algebras with implication and fusion : A different point of viewCastiglioni, José LuisSan Martín, Hernán JavierMatemáticaCiencias Exactasbounded distributive latticefusionimplicationjoin-homomorphismsemilattice tensor productrepresentation theoryThis work uses well-known results on tensor products of lattices and semilattices developed by Fraser and Grätzer et al., and the duality for bounded distributive lattices introduced by Cignoli et al., in order to develop dual categorical equivalences involving bounded distributive lattices with fusion and implication, respectively. We show that these equivalences are essentially those developed by Cabrer and Celani as part of the PhD thesis of the former.Departamento de Matemática2013-03-30info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf237-256http://sedici.unlp.edu.ar/handle/10915/142080enginfo:eu-repo/semantics/altIdentifier/issn/0002-5240info:eu-repo/semantics/altIdentifier/issn/1420-8911info:eu-repo/semantics/altIdentifier/doi/10.1007/s00012-013-0225-4info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/4.0/Creative Commons Attribution 4.0 International (CC BY 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-10-15T11:24:19Zoai:sedici.unlp.edu.ar:10915/142080Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-10-15 11:24:19.917SEDICI (UNLP) - Universidad Nacional de La Platafalse |
dc.title.none.fl_str_mv |
Algebras with implication and fusion : A different point of view |
title |
Algebras with implication and fusion : A different point of view |
spellingShingle |
Algebras with implication and fusion : A different point of view Castiglioni, José Luis Matemática Ciencias Exactas bounded distributive lattice fusion implication join-homomorphism semilattice tensor product representation theory |
title_short |
Algebras with implication and fusion : A different point of view |
title_full |
Algebras with implication and fusion : A different point of view |
title_fullStr |
Algebras with implication and fusion : A different point of view |
title_full_unstemmed |
Algebras with implication and fusion : A different point of view |
title_sort |
Algebras with implication and fusion : A different point of view |
dc.creator.none.fl_str_mv |
Castiglioni, José Luis San Martín, Hernán Javier |
author |
Castiglioni, José Luis |
author_facet |
Castiglioni, José Luis San Martín, Hernán Javier |
author_role |
author |
author2 |
San Martín, Hernán Javier |
author2_role |
author |
dc.subject.none.fl_str_mv |
Matemática Ciencias Exactas bounded distributive lattice fusion implication join-homomorphism semilattice tensor product representation theory |
topic |
Matemática Ciencias Exactas bounded distributive lattice fusion implication join-homomorphism semilattice tensor product representation theory |
dc.description.none.fl_txt_mv |
This work uses well-known results on tensor products of lattices and semilattices developed by Fraser and Grätzer et al., and the duality for bounded distributive lattices introduced by Cignoli et al., in order to develop dual categorical equivalences involving bounded distributive lattices with fusion and implication, respectively. We show that these equivalences are essentially those developed by Cabrer and Celani as part of the PhD thesis of the former. Departamento de Matemática |
description |
This work uses well-known results on tensor products of lattices and semilattices developed by Fraser and Grätzer et al., and the duality for bounded distributive lattices introduced by Cignoli et al., in order to develop dual categorical equivalences involving bounded distributive lattices with fusion and implication, respectively. We show that these equivalences are essentially those developed by Cabrer and Celani as part of the PhD thesis of the former. |
publishDate |
2013 |
dc.date.none.fl_str_mv |
2013-03-30 |
dc.type.none.fl_str_mv |
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Articulo http://purl.org/coar/resource_type/c_6501 info:ar-repo/semantics/articulo |
format |
article |
status_str |
publishedVersion |
dc.identifier.none.fl_str_mv |
http://sedici.unlp.edu.ar/handle/10915/142080 |
url |
http://sedici.unlp.edu.ar/handle/10915/142080 |
dc.language.none.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
info:eu-repo/semantics/altIdentifier/issn/0002-5240 info:eu-repo/semantics/altIdentifier/issn/1420-8911 info:eu-repo/semantics/altIdentifier/doi/10.1007/s00012-013-0225-4 |
dc.rights.none.fl_str_mv |
info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/4.0/ Creative Commons Attribution 4.0 International (CC BY 4.0) |
eu_rights_str_mv |
openAccess |
rights_invalid_str_mv |
http://creativecommons.org/licenses/by/4.0/ Creative Commons Attribution 4.0 International (CC BY 4.0) |
dc.format.none.fl_str_mv |
application/pdf 237-256 |
dc.source.none.fl_str_mv |
reponame:SEDICI (UNLP) instname:Universidad Nacional de La Plata instacron:UNLP |
reponame_str |
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SEDICI (UNLP) |
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Universidad Nacional de La Plata |
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UNLP |
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UNLP |
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SEDICI (UNLP) - Universidad Nacional de La Plata |
repository.mail.fl_str_mv |
alira@sedici.unlp.edu.ar |
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score |
13.22299 |