On frontal operators in Hilbert algebras

Autores
Castiglioni, José Luis; San Martin, Hernan Javier
Año de publicación
2015
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In this article, we introduce and study a family of compatible functions in Hilbert algebras which in the case of Heyting algebras agree with the frontal operators given by Esakia (2006, J. Appl. Non-Class. Log., 16, 349–366). Moreover, we give a representation theory, based on previous works by Cabrer, Celani and Montangie, for Hilbert algebras with a frontal operator and for Hilbert algebras with some particular frontal operators.
Fil: Castiglioni, José Luis. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matematicas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: San Martin, Hernan Javier. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matematicas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Materia
Hilbert Algebras
Compatible Functions
Modal Operators
Hilbert Duality
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:11336/13655
Acceder
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repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling On frontal operators in Hilbert algebrasCastiglioni, José LuisSan Martin, Hernan JavierHilbert AlgebrasCompatible FunctionsModal OperatorsHilbert Dualityhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1In this article, we introduce and study a family of compatible functions in Hilbert algebras which in the case of Heyting algebras agree with the frontal operators given by Esakia (2006, J. Appl. Non-Class. Log., 16, 349–366). Moreover, we give a representation theory, based on previous works by Cabrer, Celani and Montangie, for Hilbert algebras with a frontal operator and for Hilbert algebras with some particular frontal operators.Fil: Castiglioni, José Luis. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matematicas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: San Martin, Hernan Javier. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matematicas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaOxford University Press2015-03info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/13655Castiglioni, José Luis; San Martin, Hernan Javier; On frontal operators in Hilbert algebras; Oxford University Press; Logic Journal Of The Igpl (online); 23; 2; 3-2015; 217-2341367-07511368-9894enginfo:eu-repo/semantics/altIdentifier/doi/10.1093/jigpal/jzu031info:eu-repo/semantics/altIdentifier/url/https://academic.oup.com/jigpal/article-abstract/23/2/217/651154/On-frontal-operators-in-Hilbert-algebras?redirectedFrom=fulltextinfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:08:52Zoai:ri.conicet.gov.ar:11336/13655instacron: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 10:08:52.953CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv On frontal operators in Hilbert algebras
title On frontal operators in Hilbert algebras
spellingShingle On frontal operators in Hilbert algebras
Castiglioni, José Luis
Hilbert Algebras
Compatible Functions
Modal Operators
Hilbert Duality
title_short On frontal operators in Hilbert algebras
title_full On frontal operators in Hilbert algebras
title_fullStr On frontal operators in Hilbert algebras
title_full_unstemmed On frontal operators in Hilbert algebras
title_sort On frontal operators in Hilbert algebras
dc.creator.none.fl_str_mv Castiglioni, José Luis
San Martin, Hernan Javier
author Castiglioni, José Luis
author_facet Castiglioni, José Luis
San Martin, Hernan Javier
author_role author
author2 San Martin, Hernan Javier
author2_role author
dc.subject.none.fl_str_mv Hilbert Algebras
Compatible Functions
Modal Operators
Hilbert Duality
topic Hilbert Algebras
Compatible Functions
Modal Operators
Hilbert Duality
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 introduce and study a family of compatible functions in Hilbert algebras which in the case of Heyting algebras agree with the frontal operators given by Esakia (2006, J. Appl. Non-Class. Log., 16, 349–366). Moreover, we give a representation theory, based on previous works by Cabrer, Celani and Montangie, for Hilbert algebras with a frontal operator and for Hilbert algebras with some particular frontal operators.
Fil: Castiglioni, José Luis. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matematicas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: San Martin, Hernan Javier. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matematicas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
description In this article, we introduce and study a family of compatible functions in Hilbert algebras which in the case of Heyting algebras agree with the frontal operators given by Esakia (2006, J. Appl. Non-Class. Log., 16, 349–366). Moreover, we give a representation theory, based on previous works by Cabrer, Celani and Montangie, for Hilbert algebras with a frontal operator and for Hilbert algebras with some particular frontal operators.
publishDate 2015
dc.date.none.fl_str_mv 2015-03
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/11336/13655
Castiglioni, José Luis; San Martin, Hernan Javier; On frontal operators in Hilbert algebras; Oxford University Press; Logic Journal Of The Igpl (online); 23; 2; 3-2015; 217-234
1367-0751
1368-9894
url http://hdl.handle.net/11336/13655
identifier_str_mv Castiglioni, José Luis; San Martin, Hernan Javier; On frontal operators in Hilbert algebras; Oxford University Press; Logic Journal Of The Igpl (online); 23; 2; 3-2015; 217-234
1367-0751
1368-9894
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1093/jigpal/jzu031
info:eu-repo/semantics/altIdentifier/url/https://academic.oup.com/jigpal/article-abstract/23/2/217/651154/On-frontal-operators-in-Hilbert-algebras?redirectedFrom=fulltext
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 Oxford University Press
publisher.none.fl_str_mv Oxford University Press
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 13.069144

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