The logic Ł•
- Autores
- Sagastume, Marta Susana; San Martín, Hernán Javier
- Año de publicación
- 2014
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- The algebraic category MV•is the image of MV, the category whose objects are the MV-algebras, by theequivalenceK•(cf. [7, 8]). In this paper we define the logic Ł•whose Lindenbaum algebra is an MV•-algebra(object of MV•), and establish a link between Ł•and the infinite valued Łukasiewicz logic Ł. We definecU-operators, that have properties of universal quantifiers, and establish a bijection that maps an MV-algebraendowed with a U-operator (cf. [20–22]) into an MV•-algebra endowed with acU-operator. This map extendsto a functor that is a categorical equivalence.
Fil: Sagastume, Marta Susana. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matemáticas; Argentina
Fil: San Martín, Hernán Javier. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matemáticas; Argentina - Materia
-
Equivalencia
Mv-Algebras
Logica
Cuantificadores - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
- Repositorio
.jpg)
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/32869
Ver los metadatos del registro completo
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The logic Ł•Sagastume, Marta SusanaSan Martín, Hernán JavierEquivalenciaMv-AlgebrasLogicaCuantificadoreshttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1The algebraic category MV•is the image of MV, the category whose objects are the MV-algebras, by theequivalenceK•(cf. [7, 8]). In this paper we define the logic Ł•whose Lindenbaum algebra is an MV•-algebra(object of MV•), and establish a link between Ł•and the infinite valued Łukasiewicz logic Ł. We definecU-operators, that have properties of universal quantifiers, and establish a bijection that maps an MV-algebraendowed with a U-operator (cf. [20–22]) into an MV•-algebra endowed with acU-operator. This map extendsto a functor that is a categorical equivalence.Fil: Sagastume, Marta Susana. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matemáticas; ArgentinaFil: San Martín, Hernán Javier. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matemáticas; ArgentinaWiley VCH Verlag2014-10info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/32869Sagastume, Marta Susana; San Martín, Hernán Javier; The logic Ł•; Wiley VCH Verlag; Mathematical Logic Quarterly; 60; 6; 10-2014; 375-3880942-5616CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1002/malq.201200105info:eu-repo/semantics/altIdentifier/url/http://onlinelibrary.wiley.com/doi/10.1002/malq.201200105/abstractinfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T11:00:28Zoai:ri.conicet.gov.ar:11336/32869instacron: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:34982025-10-22 11:00:28.607CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse |
| dc.title.none.fl_str_mv |
The logic Ł• |
| title |
The logic Ł• |
| spellingShingle |
The logic Ł• Sagastume, Marta Susana Equivalencia Mv-Algebras Logica Cuantificadores |
| title_short |
The logic Ł• |
| title_full |
The logic Ł• |
| title_fullStr |
The logic Ł• |
| title_full_unstemmed |
The logic Ł• |
| title_sort |
The logic Ł• |
| dc.creator.none.fl_str_mv |
Sagastume, Marta Susana San Martín, Hernán Javier |
| author |
Sagastume, Marta Susana |
| author_facet |
Sagastume, Marta Susana San Martín, Hernán Javier |
| author_role |
author |
| author2 |
San Martín, Hernán Javier |
| author2_role |
author |
| dc.subject.none.fl_str_mv |
Equivalencia Mv-Algebras Logica Cuantificadores |
| topic |
Equivalencia Mv-Algebras Logica Cuantificadores |
| purl_subject.fl_str_mv |
https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| dc.description.none.fl_txt_mv |
The algebraic category MV•is the image of MV, the category whose objects are the MV-algebras, by theequivalenceK•(cf. [7, 8]). In this paper we define the logic Ł•whose Lindenbaum algebra is an MV•-algebra(object of MV•), and establish a link between Ł•and the infinite valued Łukasiewicz logic Ł. We definecU-operators, that have properties of universal quantifiers, and establish a bijection that maps an MV-algebraendowed with a U-operator (cf. [20–22]) into an MV•-algebra endowed with acU-operator. This map extendsto a functor that is a categorical equivalence. Fil: Sagastume, Marta Susana. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matemáticas; Argentina Fil: San Martín, Hernán Javier. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matemáticas; Argentina |
| description |
The algebraic category MV•is the image of MV, the category whose objects are the MV-algebras, by theequivalenceK•(cf. [7, 8]). In this paper we define the logic Ł•whose Lindenbaum algebra is an MV•-algebra(object of MV•), and establish a link between Ł•and the infinite valued Łukasiewicz logic Ł. We definecU-operators, that have properties of universal quantifiers, and establish a bijection that maps an MV-algebraendowed with a U-operator (cf. [20–22]) into an MV•-algebra endowed with acU-operator. This map extendsto a functor that is a categorical equivalence. |
| publishDate |
2014 |
| dc.date.none.fl_str_mv |
2014-10 |
| 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/11336/32869 Sagastume, Marta Susana; San Martín, Hernán Javier; The logic Ł•; Wiley VCH Verlag; Mathematical Logic Quarterly; 60; 6; 10-2014; 375-388 0942-5616 CONICET Digital CONICET |
| url |
http://hdl.handle.net/11336/32869 |
| identifier_str_mv |
Sagastume, Marta Susana; San Martín, Hernán Javier; The logic Ł•; Wiley VCH Verlag; Mathematical Logic Quarterly; 60; 6; 10-2014; 375-388 0942-5616 CONICET Digital CONICET |
| dc.language.none.fl_str_mv |
eng |
| language |
eng |
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info:eu-repo/semantics/altIdentifier/doi/10.1002/malq.201200105 info:eu-repo/semantics/altIdentifier/url/http://onlinelibrary.wiley.com/doi/10.1002/malq.201200105/abstract |
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info:eu-repo/semantics/openAccess https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ |
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openAccess |
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https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ |
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application/pdf application/pdf |
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Wiley VCH Verlag |
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Wiley VCH Verlag |
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reponame:CONICET Digital (CONICET) instname:Consejo Nacional de Investigaciones Científicas y Técnicas |
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Consejo Nacional de Investigaciones Científicas y Técnicas |
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CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas |
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dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar |
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12.982451 |