Notes on bounded Hilbert algebras with supremum

Autores
Celani, Sergio Arturo
Año de publicación
2014
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In this note we will investigate some particular classes of ideals in Hilbert algebras with supremum. We shall study the relation between -ideals and annihilator ideals in bounded Hilbert algebras with supremum. We shall introduce the class of -ideals and we will see that this class is strongly connected with the deductive systems. We will also characterize the bounded Hilbert algebras with supremum satisfying the Stone identity.
Fil: Celani, Sergio Arturo. Universidad Nacional del Centro de la Provincia de Buenos Aires.facultad de Ciencias Exactas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Materia
Hilbert Algebras
Join Semilattices
Ideals
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:11336/33652
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/33652
network_acronym_str CONICETDig
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network_name_str CONICET Digital (CONICET)
spelling Notes on bounded Hilbert algebras with supremumCelani, Sergio ArturoHilbert AlgebrasJoin SemilatticesIdealshttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1In this note we will investigate some particular classes of ideals in Hilbert algebras with supremum. We shall study the relation between -ideals and annihilator ideals in bounded Hilbert algebras with supremum. We shall introduce the class of -ideals and we will see that this class is strongly connected with the deductive systems. We will also characterize the bounded Hilbert algebras with supremum satisfying the Stone identity.Fil: Celani, Sergio Arturo. Universidad Nacional del Centro de la Provincia de Buenos Aires.facultad de Ciencias Exactas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaUniversity of Szeged2014info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/33652Notes on bounded Hilbert algebras with supremum; University of Szeged; Acta Scientiarum Mathematicarum (Szeged); 80; 2014; 3-190001-6969CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.14232/actasm-012-267-9info:eu-repo/semantics/altIdentifier/url/http://pub.acta.hu/acta/showCustomerArticle.action?id=35903&dataObjectType=articleinfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-11-05T10:01:46Zoai:ri.conicet.gov.ar:11336/33652instacron: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:34982025-11-05 10:01:46.691CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Notes on bounded Hilbert algebras with supremum
title Notes on bounded Hilbert algebras with supremum
spellingShingle Notes on bounded Hilbert algebras with supremum
Celani, Sergio Arturo
Hilbert Algebras
Join Semilattices
Ideals
title_short Notes on bounded Hilbert algebras with supremum
title_full Notes on bounded Hilbert algebras with supremum
title_fullStr Notes on bounded Hilbert algebras with supremum
title_full_unstemmed Notes on bounded Hilbert algebras with supremum
title_sort Notes on bounded Hilbert algebras with supremum
dc.creator.none.fl_str_mv Celani, Sergio Arturo
author Celani, Sergio Arturo
author_facet Celani, Sergio Arturo
author_role author
dc.subject.none.fl_str_mv Hilbert Algebras
Join Semilattices
Ideals
topic Hilbert Algebras
Join Semilattices
Ideals
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 note we will investigate some particular classes of ideals in Hilbert algebras with supremum. We shall study the relation between -ideals and annihilator ideals in bounded Hilbert algebras with supremum. We shall introduce the class of -ideals and we will see that this class is strongly connected with the deductive systems. We will also characterize the bounded Hilbert algebras with supremum satisfying the Stone identity.
Fil: Celani, Sergio Arturo. Universidad Nacional del Centro de la Provincia de Buenos Aires.facultad de Ciencias Exactas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
description In this note we will investigate some particular classes of ideals in Hilbert algebras with supremum. We shall study the relation between -ideals and annihilator ideals in bounded Hilbert algebras with supremum. We shall introduce the class of -ideals and we will see that this class is strongly connected with the deductive systems. We will also characterize the bounded Hilbert algebras with supremum satisfying the Stone identity.
publishDate 2014
dc.date.none.fl_str_mv 2014
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/11336/33652
Notes on bounded Hilbert algebras with supremum; University of Szeged; Acta Scientiarum Mathematicarum (Szeged); 80; 2014; 3-19
0001-6969
CONICET Digital
CONICET
url http://hdl.handle.net/11336/33652
identifier_str_mv Notes on bounded Hilbert algebras with supremum; University of Szeged; Acta Scientiarum Mathematicarum (Szeged); 80; 2014; 3-19
0001-6969
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.14232/actasm-012-267-9
info:eu-repo/semantics/altIdentifier/url/http://pub.acta.hu/acta/showCustomerArticle.action?id=35903&dataObjectType=article
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 University of Szeged
publisher.none.fl_str_mv University of Szeged
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 13.087074

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