Mostrar el registro sencillo del ítem
dc.contributor.author
Busaniche, Manuela
dc.contributor.author
Cignoli, Roberto Leonardo Oscar
dc.contributor.author
Marcos, Miguel
dc.date.available
2019-11-12T23:09:51Z
dc.date.issued
2019-04
dc.identifier.citation
Busaniche, Manuela; Cignoli, Roberto Leonardo Oscar; Marcos, Miguel; A Categorical Equivalence for Stonean Residuated Lattices; Springer Netherlands; Studia Logica; 107; 2; 4-2019; 399-421
dc.identifier.issn
0039-3215
dc.identifier.uri
http://hdl.handle.net/11336/88703
dc.description.abstract
We follow the ideas given by Chen and Grätzer to represent Stone algebras and adapt them for the case of Stonean residuated lattices. Given a Stonean residuated lattice, we consider the triple formed by its Boolean skeleton, its algebra of dense elements and a connecting map. We define a category whose objects are these triples and suitably defined morphisms, and prove that we have a categorical equivalence between this category and that of Stonean residuated lattices. We compare our results with other works and show some applications of the equivalence.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Springer Netherlands
dc.rights
info:eu-repo/semantics/restrictedAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
BOOLEAN ALGEBRAS
dc.subject
STONEAN RESIDUATED LATTICES
dc.subject
TRIPLES
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
A Categorical Equivalence for Stonean Residuated Lattices
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2019-10-23T21:13:09Z
dc.journal.volume
107
dc.journal.number
2
dc.journal.pagination
399-421
dc.journal.pais
Estados Unidos
dc.description.fil
Fil: Busaniche, Manuela. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; Argentina
dc.description.fil
Fil: Cignoli, Roberto Leonardo Oscar. Universidad de Buenos Aires; Argentina
dc.description.fil
Fil: Marcos, Miguel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; Argentina
dc.journal.title
Studia Logica
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/s11225-018-9800-1
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/https://doi.org/10.1007/s11225-018-9800-1
Archivos asociados