A note on ℋ3-algebras

In this note we shall generalize some results of the threevalued Lukasiewicz algebras to three-valued symmetrical Heyting algebras. We prove that a three-valued Heyting algebra with axe is a product of a Boolean algebra by a three-valued symmetrical Heyting symmetric algebra with center. We also int...

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Autores:
Celani, Sergio Arturo
Tipo de recurso:
Article of journal
Fecha de publicación:
1997
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/43676
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/43676
http://bdigital.unal.edu.co/33774/
Palabra clave:
Heyting algebras
De Morgan algebras
rough sets
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
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spelling Atribución-NoComercial 4.0 InternacionalDerechos reservados - Universidad Nacional de Colombiahttp://creativecommons.org/licenses/by-nc/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Celani, Sergio Arturo4bb7766a-1c84-4278-9981-2603336cc2093002019-06-28T12:17:45Z2019-06-28T12:17:45Z1997https://repositorio.unal.edu.co/handle/unal/43676http://bdigital.unal.edu.co/33774/In this note we shall generalize some results of the threevalued Lukasiewicz algebras to three-valued symmetrical Heyting algebras. We prove that a three-valued Heyting algebra with axe is a product of a Boolean algebra by a three-valued symmetrical Heyting symmetric algebra with center. We also introduce the involutive rough sets and we prove a representation theorem for three-valued symmetrical Heyting algebras by means of rough sets.application/pdfspaUniversidad Nacuional de Colombia; Sociedad Colombiana de matemáticashttp://revistas.unal.edu.co/index.php/recolma/article/view/33677Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de MatemáticasRevista Colombiana de MatemáticasRevista Colombiana de Matemáticas; Vol. 31, núm. 2 (1997); 125-136 0034-7426Celani, Sergio Arturo (1997) A note on ℋ3-algebras. Revista Colombiana de Matemáticas; Vol. 31, núm. 2 (1997); 125-136 0034-7426 .A note on ℋ3-algebrasArtículo de revistainfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1http://purl.org/coar/version/c_970fb48d4fbd8a85Texthttp://purl.org/redcol/resource_type/ARTHeyting algebrasDe Morgan algebrasrough setsORIGINAL33677-125567-1-PB.pdfapplication/pdf5061906https://repositorio.unal.edu.co/bitstream/unal/43676/1/33677-125567-1-PB.pdf62534f3e37bd1051edca98ca04c62e50MD51THUMBNAIL33677-125567-1-PB.pdf.jpg33677-125567-1-PB.pdf.jpgGenerated Thumbnailimage/jpeg7312https://repositorio.unal.edu.co/bitstream/unal/43676/2/33677-125567-1-PB.pdf.jpg54c43277ea80d705f9b2acb1bc9f482fMD52unal/43676oai:repositorio.unal.edu.co:unal/436762024-02-11 23:18:50.962Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.fl_str_mv A note on ℋ3-algebras
title A note on ℋ3-algebras
spellingShingle A note on ℋ3-algebras
Heyting algebras
De Morgan algebras
rough sets
title_short A note on ℋ3-algebras
title_full A note on ℋ3-algebras
title_fullStr A note on ℋ3-algebras
title_full_unstemmed A note on ℋ3-algebras
title_sort A note on ℋ3-algebras
dc.creator.fl_str_mv Celani, Sergio Arturo
dc.contributor.author.spa.fl_str_mv Celani, Sergio Arturo
dc.subject.proposal.spa.fl_str_mv Heyting algebras
De Morgan algebras
rough sets
topic Heyting algebras
De Morgan algebras
rough sets
description In this note we shall generalize some results of the threevalued Lukasiewicz algebras to three-valued symmetrical Heyting algebras. We prove that a three-valued Heyting algebra with axe is a product of a Boolean algebra by a three-valued symmetrical Heyting symmetric algebra with center. We also introduce the involutive rough sets and we prove a representation theorem for three-valued symmetrical Heyting algebras by means of rough sets.
publishDate 1997
dc.date.issued.spa.fl_str_mv 1997
dc.date.accessioned.spa.fl_str_mv 2019-06-28T12:17:45Z
dc.date.available.spa.fl_str_mv 2019-06-28T12:17:45Z
dc.type.spa.fl_str_mv Artículo de revista
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url https://repositorio.unal.edu.co/handle/unal/43676
http://bdigital.unal.edu.co/33774/
dc.language.iso.spa.fl_str_mv spa
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dc.relation.spa.fl_str_mv http://revistas.unal.edu.co/index.php/recolma/article/view/33677
dc.relation.ispartof.spa.fl_str_mv Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de Matemáticas
Revista Colombiana de Matemáticas
dc.relation.ispartofseries.none.fl_str_mv Revista Colombiana de Matemáticas; Vol. 31, núm. 2 (1997); 125-136 0034-7426
dc.relation.references.spa.fl_str_mv Celani, Sergio Arturo (1997) A note on ℋ3-algebras. Revista Colombiana de Matemáticas; Vol. 31, núm. 2 (1997); 125-136 0034-7426 .
dc.rights.spa.fl_str_mv Derechos reservados - Universidad Nacional de Colombia
dc.rights.coar.fl_str_mv http://purl.org/coar/access_right/c_abf2
dc.rights.license.spa.fl_str_mv Atribución-NoComercial 4.0 Internacional
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rights_invalid_str_mv Atribución-NoComercial 4.0 Internacional
Derechos reservados - Universidad Nacional de Colombia
http://creativecommons.org/licenses/by-nc/4.0/
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
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dc.publisher.spa.fl_str_mv Universidad Nacuional de Colombia; Sociedad Colombiana de matemáticas
institution Universidad Nacional de Colombia
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