Principal congruences in weak Heyting algebras

Autores
San Martín, Hernán Javier
Año de publicación
2016
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Let A be a weak Heyting algebra and let a, b∈ A. We give a description for the congruence generated by the pair (a, b), and we use it in order to give a necessary and sufficient condition for a function f: Ak→ A to be compatible with every congruence of A. We also find conditions on a not necessarily polynomial function g(a, b) in A that imply that the function a↦ min { b∈ A: g(a, b) ≤ b} is compatible when defined.
Fil: San Martín, Hernán Javier. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Materia
Primary: 03g10
Secondary: 06d20
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:11336/40336
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Principal congruences in weak Heyting algebrasSan Martín, Hernán JavierPrimary: 03g10Secondary: 06d20https://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1Let A be a weak Heyting algebra and let a, b∈ A. We give a description for the congruence generated by the pair (a, b), and we use it in order to give a necessary and sufficient condition for a function f: Ak→ A to be compatible with every congruence of A. We also find conditions on a not necessarily polynomial function g(a, b) in A that imply that the function a↦ min { b∈ A: g(a, b) ≤ b} is compatible when defined.Fil: San Martín, Hernán Javier. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaBirkhauser Verlag Ag2016-07info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/40336San Martín, Hernán Javier; Principal congruences in weak Heyting algebras; Birkhauser Verlag Ag; Algebra Universalis; 75; 4; 7-2016; 405-4180002-52401420-8911CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1007/s00012-016-0381-4info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007%2Fs00012-016-0381-4info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T09:47:23Zoai:ri.conicet.gov.ar:11336/40336instacron: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 09:47:24.118CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Principal congruences in weak Heyting algebras
title Principal congruences in weak Heyting algebras
spellingShingle Principal congruences in weak Heyting algebras
San Martín, Hernán Javier
Primary: 03g10
Secondary: 06d20
title_short Principal congruences in weak Heyting algebras
title_full Principal congruences in weak Heyting algebras
title_fullStr Principal congruences in weak Heyting algebras
title_full_unstemmed Principal congruences in weak Heyting algebras
title_sort Principal congruences in weak Heyting algebras
dc.creator.none.fl_str_mv San Martín, Hernán Javier
author San Martín, Hernán Javier
author_facet San Martín, Hernán Javier
author_role author
dc.subject.none.fl_str_mv Primary: 03g10
Secondary: 06d20
topic Primary: 03g10
Secondary: 06d20
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv Let A be a weak Heyting algebra and let a, b∈ A. We give a description for the congruence generated by the pair (a, b), and we use it in order to give a necessary and sufficient condition for a function f: Ak→ A to be compatible with every congruence of A. We also find conditions on a not necessarily polynomial function g(a, b) in A that imply that the function a↦ min { b∈ A: g(a, b) ≤ b} is compatible when defined.
Fil: San Martín, Hernán Javier. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
description Let A be a weak Heyting algebra and let a, b∈ A. We give a description for the congruence generated by the pair (a, b), and we use it in order to give a necessary and sufficient condition for a function f: Ak→ A to be compatible with every congruence of A. We also find conditions on a not necessarily polynomial function g(a, b) in A that imply that the function a↦ min { b∈ A: g(a, b) ≤ b} is compatible when defined.
publishDate 2016
dc.date.none.fl_str_mv 2016-07
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/11336/40336
San Martín, Hernán Javier; Principal congruences in weak Heyting algebras; Birkhauser Verlag Ag; Algebra Universalis; 75; 4; 7-2016; 405-418
0002-5240
1420-8911
CONICET Digital
CONICET
url http://hdl.handle.net/11336/40336
identifier_str_mv San Martín, Hernán Javier; Principal congruences in weak Heyting algebras; Birkhauser Verlag Ag; Algebra Universalis; 75; 4; 7-2016; 405-418
0002-5240
1420-8911
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1007/s00012-016-0381-4
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007%2Fs00012-016-0381-4
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 Birkhauser Verlag Ag
publisher.none.fl_str_mv Birkhauser Verlag Ag
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 13.13397

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