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
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/13655
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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 Técnicas2025-09-03T09:59:18Zoai: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:34982025-09-03 09:59:18.695CONICET 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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1842269573841158144 |
score |
13.13397 |