Algebras with implication and fusion : A different point of view

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 fus...

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Autores principales: Castiglioni, José Luis, San Martín, Hernán Javier
Formato: Articulo
Lenguaje:Inglés
Publicado: 2013
Materias:
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/142080
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id I19-R120-10915-142080
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Matemática
Ciencias Exactas
bounded distributive lattice
fusion
implication
join-homomorphism
semilattice tensor product
representation theory
spellingShingle Matemática
Ciencias Exactas
bounded distributive lattice
fusion
implication
join-homomorphism
semilattice tensor product
representation theory
Castiglioni, José Luis
San Martín, Hernán Javier
Algebras with implication and fusion : A different point of view
topic_facet Matemática
Ciencias Exactas
bounded distributive lattice
fusion
implication
join-homomorphism
semilattice tensor product
representation theory
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.
format Articulo
Articulo
author Castiglioni, José Luis
San Martín, Hernán Javier
author_facet Castiglioni, José Luis
San Martín, Hernán Javier
author_sort Castiglioni, José Luis
title Algebras with implication and fusion : A different point of view
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
publishDate 2013
url http://sedici.unlp.edu.ar/handle/10915/142080
work_keys_str_mv AT castiglionijoseluis algebraswithimplicationandfusionadifferentpointofview
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