Regular elements and Kolmogorov translation in residuated lattices

Autores
Castaño, Diego Nicolás; Díaz Varela, José Patricio; Torrens, Antoni
Año de publicación
2015
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In this article we study in detail the regular elements of a bounded, commutative and integral residuated lattice. We introduce the notion of a regular variety and explore its relationship with the Kolmogorov negative translation. In addition, we investigate the corresponding notions in the axiomatic extensions of the Full Lambek calculus with exchange and weakening.
Fil: Castaño, Diego Nicolás. Universidad Nacional del Sur. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Bahía Blanca. Instituto de Matemática Bahía Blanca (i); Argentina
Fil: Díaz Varela, José Patricio. Universidad Nacional del Sur. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Bahía Blanca. Instituto de Matemática Bahía Blanca (i); Argentina
Fil: Torrens, Antoni. Universidad de Barcelona; España
Materia
Residuated Lattices
Regular Elements
Kolmogorov Translation
Glivenko Varietes
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/11965
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/11965
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Regular elements and Kolmogorov translation in residuated latticesCastaño, Diego NicolásDíaz Varela, José PatricioTorrens, AntoniResiduated LatticesRegular ElementsKolmogorov TranslationGlivenko Varieteshttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1In this article we study in detail the regular elements of a bounded, commutative and integral residuated lattice. We introduce the notion of a regular variety and explore its relationship with the Kolmogorov negative translation. In addition, we investigate the corresponding notions in the axiomatic extensions of the Full Lambek calculus with exchange and weakening.Fil: Castaño, Diego Nicolás. Universidad Nacional del Sur. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Bahía Blanca. Instituto de Matemática Bahía Blanca (i); ArgentinaFil: Díaz Varela, José Patricio. Universidad Nacional del Sur. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Bahía Blanca. Instituto de Matemática Bahía Blanca (i); ArgentinaFil: Torrens, Antoni. Universidad de Barcelona; EspañaSpringer2015-02info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/11965Castaño, Diego Nicolás; Díaz Varela, José Patricio; Torrens, Antoni; Regular elements and Kolmogorov translation in residuated lattices; Springer; Algebra Universalis; 73; 1; 2-2015; 1-220002-52401420-8911enginfo:eu-repo/semantics/altIdentifier/url/http://link.springer.com/article/10.1007%2Fs00012-014-0311-2info:eu-repo/semantics/altIdentifier/doi/10.1007/s00012-014-0311-2info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:39:01Zoai:ri.conicet.gov.ar:11336/11965instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 09:39:01.317CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Regular elements and Kolmogorov translation in residuated lattices
title Regular elements and Kolmogorov translation in residuated lattices
spellingShingle Regular elements and Kolmogorov translation in residuated lattices
Castaño, Diego Nicolás
Residuated Lattices
Regular Elements
Kolmogorov Translation
Glivenko Varietes
title_short Regular elements and Kolmogorov translation in residuated lattices
title_full Regular elements and Kolmogorov translation in residuated lattices
title_fullStr Regular elements and Kolmogorov translation in residuated lattices
title_full_unstemmed Regular elements and Kolmogorov translation in residuated lattices
title_sort Regular elements and Kolmogorov translation in residuated lattices
dc.creator.none.fl_str_mv Castaño, Diego Nicolás
Díaz Varela, José Patricio
Torrens, Antoni
author Castaño, Diego Nicolás
author_facet Castaño, Diego Nicolás
Díaz Varela, José Patricio
Torrens, Antoni
author_role author
author2 Díaz Varela, José Patricio
Torrens, Antoni
author2_role author
author
dc.subject.none.fl_str_mv Residuated Lattices
Regular Elements
Kolmogorov Translation
Glivenko Varietes
topic Residuated Lattices
Regular Elements
Kolmogorov Translation
Glivenko Varietes
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv In this article we study in detail the regular elements of a bounded, commutative and integral residuated lattice. We introduce the notion of a regular variety and explore its relationship with the Kolmogorov negative translation. In addition, we investigate the corresponding notions in the axiomatic extensions of the Full Lambek calculus with exchange and weakening.
Fil: Castaño, Diego Nicolás. Universidad Nacional del Sur. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Bahía Blanca. Instituto de Matemática Bahía Blanca (i); Argentina
Fil: Díaz Varela, José Patricio. Universidad Nacional del Sur. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Bahía Blanca. Instituto de Matemática Bahía Blanca (i); Argentina
Fil: Torrens, Antoni. Universidad de Barcelona; España
description In this article we study in detail the regular elements of a bounded, commutative and integral residuated lattice. We introduce the notion of a regular variety and explore its relationship with the Kolmogorov negative translation. In addition, we investigate the corresponding notions in the axiomatic extensions of the Full Lambek calculus with exchange and weakening.
publishDate 2015
dc.date.none.fl_str_mv 2015-02
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
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://hdl.handle.net/11336/11965
Castaño, Diego Nicolás; Díaz Varela, José Patricio; Torrens, Antoni; Regular elements and Kolmogorov translation in residuated lattices; Springer; Algebra Universalis; 73; 1; 2-2015; 1-22
0002-5240
1420-8911
url http://hdl.handle.net/11336/11965
identifier_str_mv Castaño, Diego Nicolás; Díaz Varela, José Patricio; Torrens, Antoni; Regular elements and Kolmogorov translation in residuated lattices; Springer; Algebra Universalis; 73; 1; 2-2015; 1-22
0002-5240
1420-8911
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://link.springer.com/article/10.1007%2Fs00012-014-0311-2
info:eu-repo/semantics/altIdentifier/doi/10.1007/s00012-014-0311-2
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.070432

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