On Principal Congruences in Distributive Lattices with a Commutative Monoidal Operation and an Implication

Autores
Jansana Ferrer, Ramon; San Martín, Hernán Javier
Año de publicación
2019
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In this paper we introduce and study a variety of algebras that properly includes integral distributive commutative residuated lattices and weak Heyting algebras. Our main goal is to give a characterization of the principal congruences in this variety. We apply this description in order to study compatible functions.
Fil: Jansana Ferrer, Ramon. Universidad de Barcelona; España
Fil: San Martín, Hernán Javier. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata; Argentina. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matemáticas; Argentina
Materia
COMPATIBLE FUNCTIONS
DISTRIBUTIVE LATTICES
OPERATIONS
PRINCIPAL CONGRUENCES
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/130963
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/130963
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling On Principal Congruences in Distributive Lattices with a Commutative Monoidal Operation and an ImplicationJansana Ferrer, RamonSan Martín, Hernán JavierCOMPATIBLE FUNCTIONSDISTRIBUTIVE LATTICESOPERATIONSPRINCIPAL CONGRUENCEShttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1In this paper we introduce and study a variety of algebras that properly includes integral distributive commutative residuated lattices and weak Heyting algebras. Our main goal is to give a characterization of the principal congruences in this variety. We apply this description in order to study compatible functions.Fil: Jansana Ferrer, Ramon. Universidad de Barcelona; EspañaFil: San Martín, Hernán Javier. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata; Argentina. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matemáticas; ArgentinaSpringer2019-04-12info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/zipapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/130963Jansana Ferrer, Ramon; San Martín, Hernán Javier; On Principal Congruences in Distributive Lattices with a Commutative Monoidal Operation and an Implication; Springer; Studia Logica; 107; 2; 12-4-2019; 351-3741572-87300039-3215CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1007/s11225-018-9796-6info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/s11225-018-9796-6info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1804.06933info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-nd/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-11-05T10:54:06Zoai:ri.conicet.gov.ar:11336/130963instacron: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 10:54:06.759CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv On Principal Congruences in Distributive Lattices with a Commutative Monoidal Operation and an Implication
title On Principal Congruences in Distributive Lattices with a Commutative Monoidal Operation and an Implication
spellingShingle On Principal Congruences in Distributive Lattices with a Commutative Monoidal Operation and an Implication
Jansana Ferrer, Ramon
COMPATIBLE FUNCTIONS
DISTRIBUTIVE LATTICES
OPERATIONS
PRINCIPAL CONGRUENCES
title_short On Principal Congruences in Distributive Lattices with a Commutative Monoidal Operation and an Implication
title_full On Principal Congruences in Distributive Lattices with a Commutative Monoidal Operation and an Implication
title_fullStr On Principal Congruences in Distributive Lattices with a Commutative Monoidal Operation and an Implication
title_full_unstemmed On Principal Congruences in Distributive Lattices with a Commutative Monoidal Operation and an Implication
title_sort On Principal Congruences in Distributive Lattices with a Commutative Monoidal Operation and an Implication
dc.creator.none.fl_str_mv Jansana Ferrer, Ramon
San Martín, Hernán Javier
author Jansana Ferrer, Ramon
author_facet Jansana Ferrer, Ramon
San Martín, Hernán Javier
author_role author
author2 San Martín, Hernán Javier
author2_role author
dc.subject.none.fl_str_mv COMPATIBLE FUNCTIONS
DISTRIBUTIVE LATTICES
OPERATIONS
PRINCIPAL CONGRUENCES
topic COMPATIBLE FUNCTIONS
DISTRIBUTIVE LATTICES
OPERATIONS
PRINCIPAL CONGRUENCES
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 paper we introduce and study a variety of algebras that properly includes integral distributive commutative residuated lattices and weak Heyting algebras. Our main goal is to give a characterization of the principal congruences in this variety. We apply this description in order to study compatible functions.
Fil: Jansana Ferrer, Ramon. Universidad de Barcelona; España
Fil: San Martín, Hernán Javier. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata; Argentina. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matemáticas; Argentina
description In this paper we introduce and study a variety of algebras that properly includes integral distributive commutative residuated lattices and weak Heyting algebras. Our main goal is to give a characterization of the principal congruences in this variety. We apply this description in order to study compatible functions.
publishDate 2019
dc.date.none.fl_str_mv 2019-04-12
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/11336/130963
Jansana Ferrer, Ramon; San Martín, Hernán Javier; On Principal Congruences in Distributive Lattices with a Commutative Monoidal Operation and an Implication; Springer; Studia Logica; 107; 2; 12-4-2019; 351-374
1572-8730
0039-3215
CONICET Digital
CONICET
url http://hdl.handle.net/11336/130963
identifier_str_mv Jansana Ferrer, Ramon; San Martín, Hernán Javier; On Principal Congruences in Distributive Lattices with a Commutative Monoidal Operation and an Implication; Springer; Studia Logica; 107; 2; 12-4-2019; 351-374
1572-8730
0039-3215
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/s11225-018-9796-6
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/s11225-018-9796-6
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1804.06933
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/zip
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
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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