Semi-Heyting Algebras Term-equivalent to Gödel Algebras
- Autores
- Abad, Manuel; Cornejo, Juan Manuel; Díaz Varela, José Patricio
- Año de publicación
- 2013
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- In this paper we investigate those subvarieties of the variety SH of semi-Heyting algebras which are term-equivalent to the variety LH of Gödel algebras (linear Heyting algebras). We prove that the only other subvarieties with this property are the variety LCom of commutative semi-Heyting algebras and the variety L∨ generated by the chains in which a < b implies a → b = b. We also study the variety C generated within SH by LH, L∨ and LCom. In particular we prove that C is locally finite and we obtain a construction of the finitely generated free algebra in C.
Fil: Abad, Manuel. Universidad Nacional del Sur. Departamento de Matemática; Argentina
Fil: Cornejo, Juan Manuel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Matemática Bahía Blanca. Universidad Nacional del Sur. Departamento de Matemática. Instituto de Matemática Bahía Blanca; Argentina
Fil: Díaz Varela, José Patricio. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Matemática Bahía Blanca. Universidad Nacional del Sur. Departamento de Matemática. Instituto de Matemática Bahía Blanca; Argentina - Materia
-
Heyting Algebra
Linear Heyting Algebra
Semi-Heyting Algebra
Term-Equivalent Varieties - 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:11336/11864
Ver los metadatos del registro completo
id |
CONICETDig_e55f66fdeb6845f49ca850516f24a26a |
---|---|
oai_identifier_str |
oai:ri.conicet.gov.ar:11336/11864 |
network_acronym_str |
CONICETDig |
repository_id_str |
3498 |
network_name_str |
CONICET Digital (CONICET) |
spelling |
Semi-Heyting Algebras Term-equivalent to Gödel AlgebrasAbad, ManuelCornejo, Juan ManuelDíaz Varela, José PatricioHeyting AlgebraLinear Heyting AlgebraSemi-Heyting AlgebraTerm-Equivalent Varietieshttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1In this paper we investigate those subvarieties of the variety SH of semi-Heyting algebras which are term-equivalent to the variety LH of Gödel algebras (linear Heyting algebras). We prove that the only other subvarieties with this property are the variety LCom of commutative semi-Heyting algebras and the variety L∨ generated by the chains in which a < b implies a → b = b. We also study the variety C generated within SH by LH, L∨ and LCom. In particular we prove that C is locally finite and we obtain a construction of the finitely generated free algebra in C.Fil: Abad, Manuel. Universidad Nacional del Sur. Departamento de Matemática; ArgentinaFil: Cornejo, Juan Manuel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Matemática Bahía Blanca. Universidad Nacional del Sur. Departamento de Matemática. Instituto de Matemática Bahía Blanca; ArgentinaFil: Díaz Varela, José Patricio. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Matemática Bahía Blanca. Universidad Nacional del Sur. Departamento de Matemática. Instituto de Matemática Bahía Blanca; ArgentinaSpringer2013-07info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/11864Abad, Manuel; Cornejo, Juan Manuel; Díaz Varela, José Patricio; Semi-Heyting Algebras Term-equivalent to Gödel Algebras; Springer; Order; 30; 2; 7-2013; 625-6420167-8094enginfo:eu-repo/semantics/altIdentifier/url/http://link.springer.com/article/10.1007%2Fs11083-012-9266-0info:eu-repo/semantics/altIdentifier/doi/10.1007/s11083-012-9266-0info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T10:01:55Zoai:ri.conicet.gov.ar:11336/11864instacron: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 10:01:55.593CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse |
dc.title.none.fl_str_mv |
Semi-Heyting Algebras Term-equivalent to Gödel Algebras |
title |
Semi-Heyting Algebras Term-equivalent to Gödel Algebras |
spellingShingle |
Semi-Heyting Algebras Term-equivalent to Gödel Algebras Abad, Manuel Heyting Algebra Linear Heyting Algebra Semi-Heyting Algebra Term-Equivalent Varieties |
title_short |
Semi-Heyting Algebras Term-equivalent to Gödel Algebras |
title_full |
Semi-Heyting Algebras Term-equivalent to Gödel Algebras |
title_fullStr |
Semi-Heyting Algebras Term-equivalent to Gödel Algebras |
title_full_unstemmed |
Semi-Heyting Algebras Term-equivalent to Gödel Algebras |
title_sort |
Semi-Heyting Algebras Term-equivalent to Gödel Algebras |
dc.creator.none.fl_str_mv |
Abad, Manuel Cornejo, Juan Manuel Díaz Varela, José Patricio |
author |
Abad, Manuel |
author_facet |
Abad, Manuel Cornejo, Juan Manuel Díaz Varela, José Patricio |
author_role |
author |
author2 |
Cornejo, Juan Manuel Díaz Varela, José Patricio |
author2_role |
author author |
dc.subject.none.fl_str_mv |
Heyting Algebra Linear Heyting Algebra Semi-Heyting Algebra Term-Equivalent Varieties |
topic |
Heyting Algebra Linear Heyting Algebra Semi-Heyting Algebra Term-Equivalent Varieties |
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 investigate those subvarieties of the variety SH of semi-Heyting algebras which are term-equivalent to the variety LH of Gödel algebras (linear Heyting algebras). We prove that the only other subvarieties with this property are the variety LCom of commutative semi-Heyting algebras and the variety L∨ generated by the chains in which a < b implies a → b = b. We also study the variety C generated within SH by LH, L∨ and LCom. In particular we prove that C is locally finite and we obtain a construction of the finitely generated free algebra in C. Fil: Abad, Manuel. Universidad Nacional del Sur. Departamento de Matemática; Argentina Fil: Cornejo, Juan Manuel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Matemática Bahía Blanca. Universidad Nacional del Sur. Departamento de Matemática. Instituto de Matemática Bahía Blanca; Argentina Fil: Díaz Varela, José Patricio. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Matemática Bahía Blanca. Universidad Nacional del Sur. Departamento de Matemática. Instituto de Matemática Bahía Blanca; Argentina |
description |
In this paper we investigate those subvarieties of the variety SH of semi-Heyting algebras which are term-equivalent to the variety LH of Gödel algebras (linear Heyting algebras). We prove that the only other subvarieties with this property are the variety LCom of commutative semi-Heyting algebras and the variety L∨ generated by the chains in which a < b implies a → b = b. We also study the variety C generated within SH by LH, L∨ and LCom. In particular we prove that C is locally finite and we obtain a construction of the finitely generated free algebra in C. |
publishDate |
2013 |
dc.date.none.fl_str_mv |
2013-07 |
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/11336/11864 Abad, Manuel; Cornejo, Juan Manuel; Díaz Varela, José Patricio; Semi-Heyting Algebras Term-equivalent to Gödel Algebras; Springer; Order; 30; 2; 7-2013; 625-642 0167-8094 |
url |
http://hdl.handle.net/11336/11864 |
identifier_str_mv |
Abad, Manuel; Cornejo, Juan Manuel; Díaz Varela, José Patricio; Semi-Heyting Algebras Term-equivalent to Gödel Algebras; Springer; Order; 30; 2; 7-2013; 625-642 0167-8094 |
dc.language.none.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
info:eu-repo/semantics/altIdentifier/url/http://link.springer.com/article/10.1007%2Fs11083-012-9266-0 info:eu-repo/semantics/altIdentifier/doi/10.1007/s11083-012-9266-0 |
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 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 |
_version_ |
1842269725250289664 |
score |
13.13397 |