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
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/142080

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network_acronym_str SEDICI
repository_id_str 1329
network_name_str SEDICI (UNLP)
spelling 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 SEDICI (UNLP)
collection SEDICI (UNLP)
instname_str Universidad Nacional de La Plata
instacron_str UNLP
institution UNLP
repository.name.fl_str_mv SEDICI (UNLP) - Universidad Nacional de La Plata
repository.mail.fl_str_mv alira@sedici.unlp.edu.ar
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