Priestley duality for some algebras with a negation operator
- Autores
- Celani, Sergio Arturo
- Año de publicación
- 2007
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- In [1], the variety of ¬-lattices was introduced as a bounded distributive lattices, A, endowed with a unary operation ¬, satisfying the axioms ¬0 ≈ 1 and ¬ (a ∨ b) ≈ ¬a ∧ ¬b. In this paper, we apply the representation and the duality developed in [1] to give short representations for semi-De Morgan algebras, demi-p-lattices, almost p-lattices, and weak Stone algebras.
Fil: Celani, Sergio Arturo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Tandil; Argentina - Materia
-
ALGEBRAS
LATTICES
NEGATION OPERATOR - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- https://creativecommons.org/licenses/by-nd/2.5/ar/
- Repositorio
.jpg)
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/239930
Ver los metadatos del registro completo
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Priestley duality for some algebras with a negation operatorCelani, Sergio ArturoALGEBRASLATTICESNEGATION OPERATORhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1In [1], the variety of ¬-lattices was introduced as a bounded distributive lattices, A, endowed with a unary operation ¬, satisfying the axioms ¬0 ≈ 1 and ¬ (a ∨ b) ≈ ¬a ∧ ¬b. In this paper, we apply the representation and the duality developed in [1] to give short representations for semi-De Morgan algebras, demi-p-lattices, almost p-lattices, and weak Stone algebras.Fil: Celani, Sergio Arturo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Tandil; ArgentinaUniversity of Calgary2007-12info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/239930Celani, Sergio Arturo; Priestley duality for some algebras with a negation operator; University of Calgary; Contributions to Discrete Mathematics; 2; 2; 12-2007; 205-2131715-0868CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://cdm.ucalgary.ca/article/view/61973info:eu-repo/semantics/altIdentifier/doi/10.11575/cdm.v2i2.61973info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nd/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-15T14:57:08Zoai:ri.conicet.gov.ar:11336/239930instacron: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:34982025-10-15 14:57:08.807CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse |
| dc.title.none.fl_str_mv |
Priestley duality for some algebras with a negation operator |
| title |
Priestley duality for some algebras with a negation operator |
| spellingShingle |
Priestley duality for some algebras with a negation operator Celani, Sergio Arturo ALGEBRAS LATTICES NEGATION OPERATOR |
| title_short |
Priestley duality for some algebras with a negation operator |
| title_full |
Priestley duality for some algebras with a negation operator |
| title_fullStr |
Priestley duality for some algebras with a negation operator |
| title_full_unstemmed |
Priestley duality for some algebras with a negation operator |
| title_sort |
Priestley duality for some algebras with a negation operator |
| 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 |
ALGEBRAS LATTICES NEGATION OPERATOR |
| topic |
ALGEBRAS LATTICES NEGATION OPERATOR |
| 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 [1], the variety of ¬-lattices was introduced as a bounded distributive lattices, A, endowed with a unary operation ¬, satisfying the axioms ¬0 ≈ 1 and ¬ (a ∨ b) ≈ ¬a ∧ ¬b. In this paper, we apply the representation and the duality developed in [1] to give short representations for semi-De Morgan algebras, demi-p-lattices, almost p-lattices, and weak Stone algebras. Fil: Celani, Sergio Arturo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Tandil; Argentina |
| description |
In [1], the variety of ¬-lattices was introduced as a bounded distributive lattices, A, endowed with a unary operation ¬, satisfying the axioms ¬0 ≈ 1 and ¬ (a ∨ b) ≈ ¬a ∧ ¬b. In this paper, we apply the representation and the duality developed in [1] to give short representations for semi-De Morgan algebras, demi-p-lattices, almost p-lattices, and weak Stone algebras. |
| publishDate |
2007 |
| dc.date.none.fl_str_mv |
2007-12 |
| 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/11336/239930 Celani, Sergio Arturo; Priestley duality for some algebras with a negation operator; University of Calgary; Contributions to Discrete Mathematics; 2; 2; 12-2007; 205-213 1715-0868 CONICET Digital CONICET |
| url |
http://hdl.handle.net/11336/239930 |
| identifier_str_mv |
Celani, Sergio Arturo; Priestley duality for some algebras with a negation operator; University of Calgary; Contributions to Discrete Mathematics; 2; 2; 12-2007; 205-213 1715-0868 CONICET Digital CONICET |
| dc.language.none.fl_str_mv |
eng |
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eng |
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info:eu-repo/semantics/altIdentifier/url/https://cdm.ucalgary.ca/article/view/61973 info:eu-repo/semantics/altIdentifier/doi/10.11575/cdm.v2i2.61973 |
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info:eu-repo/semantics/openAccess https://creativecommons.org/licenses/by-nd/2.5/ar/ |
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openAccess |
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application/pdf application/pdf |
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University of Calgary |
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University of Calgary |
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dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar |
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