Localization of semi-Heyting algebras

Autores
Figallo, Aldo Victorio; Pelaitay, Gustavo Andrés
Año de publicación
2016
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In this note, we introduce the notion of ideal on semi-Heyting algebras which allows us to consider a topology on them. Besides, we define the concept of F−multiplier, where F is a topology on a semi-Heyting algebra L, which is used to construct the localization semi-Heyting algebra LF. Furthermore, we prove that the semi-Heyting algebra of fractions LS associated with an ∧−closed system S of L is a semi-Heyting of localization. Finally, in the finite case we prove that LS is isomorphic to a special subalgebra of L. Since Heyting algebras are a particular case of semi-Heyting algebras, all these results generalize those obtained in [11].
Fil: Figallo, Aldo Victorio. Universidad Nacional de San Juan. Facultad de Filosofía, Humanidades y Artes. Instituto de Ciencias Básicas; Argentina
Fil: Pelaitay, Gustavo Andrés. Universidad Nacional de San Juan. Facultad de Filosofía, Humanidades y Artes. Instituto de Ciencias Básicas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - San Juan; Argentina. Universidad Nacional de San Juan. Facultad de Filosofía, Humanidades y Artes. Departamento de Matemática; Argentina
Materia
LOCALIZATION
F-MULTIPLIERS
SEMI-HEYTING ALGEBRAS
∧−CLOSED SYSTEM
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:11336/99879
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/99879
network_acronym_str CONICETDig
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network_name_str CONICET Digital (CONICET)
spelling Localization of semi-Heyting algebrasFigallo, Aldo VictorioPelaitay, Gustavo AndrésLOCALIZATIONF-MULTIPLIERSSEMI-HEYTING ALGEBRAS∧−CLOSED SYSTEMhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1In this note, we introduce the notion of ideal on semi-Heyting algebras which allows us to consider a topology on them. Besides, we define the concept of F−multiplier, where F is a topology on a semi-Heyting algebra L, which is used to construct the localization semi-Heyting algebra LF. Furthermore, we prove that the semi-Heyting algebra of fractions LS associated with an ∧−closed system S of L is a semi-Heyting of localization. Finally, in the finite case we prove that LS is isomorphic to a special subalgebra of L. Since Heyting algebras are a particular case of semi-Heyting algebras, all these results generalize those obtained in [11].Fil: Figallo, Aldo Victorio. Universidad Nacional de San Juan. Facultad de Filosofía, Humanidades y Artes. Instituto de Ciencias Básicas; ArgentinaFil: Pelaitay, Gustavo Andrés. Universidad Nacional de San Juan. Facultad de Filosofía, Humanidades y Artes. Instituto de Ciencias Básicas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - San Juan; Argentina. Universidad Nacional de San Juan. Facultad de Filosofía, Humanidades y Artes. Departamento de Matemática; ArgentinaUniversity of Craiova2016-12info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/99879Figallo, Aldo Victorio; Pelaitay, Gustavo Andrés; Localization of semi-Heyting algebras; University of Craiova; Annals of the University of Craiova; 43; 2; 12-2016; 210-2171223-6934CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://inf.ucv.ro/~ami/index.php/ami/article/view/717/info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T09:59:40Zoai:ri.conicet.gov.ar:11336/99879instacron: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 09:59:40.509CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Localization of semi-Heyting algebras
title Localization of semi-Heyting algebras
spellingShingle Localization of semi-Heyting algebras
Figallo, Aldo Victorio
LOCALIZATION
F-MULTIPLIERS
SEMI-HEYTING ALGEBRAS
∧−CLOSED SYSTEM
title_short Localization of semi-Heyting algebras
title_full Localization of semi-Heyting algebras
title_fullStr Localization of semi-Heyting algebras
title_full_unstemmed Localization of semi-Heyting algebras
title_sort Localization of semi-Heyting algebras
dc.creator.none.fl_str_mv Figallo, Aldo Victorio
Pelaitay, Gustavo Andrés
author Figallo, Aldo Victorio
author_facet Figallo, Aldo Victorio
Pelaitay, Gustavo Andrés
author_role author
author2 Pelaitay, Gustavo Andrés
author2_role author
dc.subject.none.fl_str_mv LOCALIZATION
F-MULTIPLIERS
SEMI-HEYTING ALGEBRAS
∧−CLOSED SYSTEM
topic LOCALIZATION
F-MULTIPLIERS
SEMI-HEYTING ALGEBRAS
∧−CLOSED SYSTEM
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 introduce the notion of ideal on semi-Heyting algebras which allows us to consider a topology on them. Besides, we define the concept of F−multiplier, where F is a topology on a semi-Heyting algebra L, which is used to construct the localization semi-Heyting algebra LF. Furthermore, we prove that the semi-Heyting algebra of fractions LS associated with an ∧−closed system S of L is a semi-Heyting of localization. Finally, in the finite case we prove that LS is isomorphic to a special subalgebra of L. Since Heyting algebras are a particular case of semi-Heyting algebras, all these results generalize those obtained in [11].
Fil: Figallo, Aldo Victorio. Universidad Nacional de San Juan. Facultad de Filosofía, Humanidades y Artes. Instituto de Ciencias Básicas; Argentina
Fil: Pelaitay, Gustavo Andrés. Universidad Nacional de San Juan. Facultad de Filosofía, Humanidades y Artes. Instituto de Ciencias Básicas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - San Juan; Argentina. Universidad Nacional de San Juan. Facultad de Filosofía, Humanidades y Artes. Departamento de Matemática; Argentina
description In this note, we introduce the notion of ideal on semi-Heyting algebras which allows us to consider a topology on them. Besides, we define the concept of F−multiplier, where F is a topology on a semi-Heyting algebra L, which is used to construct the localization semi-Heyting algebra LF. Furthermore, we prove that the semi-Heyting algebra of fractions LS associated with an ∧−closed system S of L is a semi-Heyting of localization. Finally, in the finite case we prove that LS is isomorphic to a special subalgebra of L. Since Heyting algebras are a particular case of semi-Heyting algebras, all these results generalize those obtained in [11].
publishDate 2016
dc.date.none.fl_str_mv 2016-12
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/11336/99879
Figallo, Aldo Victorio; Pelaitay, Gustavo Andrés; Localization of semi-Heyting algebras; University of Craiova; Annals of the University of Craiova; 43; 2; 12-2016; 210-217
1223-6934
CONICET Digital
CONICET
url http://hdl.handle.net/11336/99879
identifier_str_mv Figallo, Aldo Victorio; Pelaitay, Gustavo Andrés; Localization of semi-Heyting algebras; University of Craiova; Annals of the University of Craiova; 43; 2; 12-2016; 210-217
1223-6934
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://inf.ucv.ro/~ami/index.php/ami/article/view/717/
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 Craiova
publisher.none.fl_str_mv University of Craiova
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
_version_ 1842269594304118784
score 13.13397

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