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dc.contributor.author
Díaz Varela, José Patricio
dc.date.available
2020-01-21T00:20:43Z
dc.date.issued
2008-06
dc.identifier.citation
Díaz Varela, José Patricio; Free Łukasiewicz implication algebras; Springer; Archive for Mathematical Logic - (Print); 47; 1; 6-2008; 25-33
dc.identifier.issn
0933-5846
dc.identifier.uri
http://hdl.handle.net/11336/95369
dc.description.abstract
Łukasiewicz implication algebras are the {→,1}-subreducts of MV- algebras. They are the algebraic counterpart of Super-Łukasiewicz Implicational Logics investigated in Komori (Nogoya Math J 72:127-133, 1978). In this paper we give a description of free Łukasiewicz implication algebras in the context of McNaughton functions. More precisely, we show that the |X|-free Łukasiewicz implication algebra is isomorphic to ∪x∈X} [xθ) for a certain congruence θ over the |X|-free MV-algebra. As corollary we describe the free algebras in all subvarieties of Łukasiewicz implication algebras.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Springer
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
ŁUKASIEWICZ IMPLICATION ALGEBRAS
dc.subject
FREE ALGEBRAS
dc.subject
MCNAUGHTON FUNCTIONS
dc.subject
MV-ALGEBRAS
dc.subject
WAJSBERG ALGEBRAS
dc.subject.classification
Matemática Aplicada
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Free Łukasiewicz implication algebras
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2019-12-18T13:58:03Z
dc.journal.volume
47
dc.journal.number
1
dc.journal.pagination
25-33
dc.journal.pais
Alemania
dc.journal.ciudad
Berlín
dc.description.fil
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
dc.journal.title
Archive for Mathematical Logic - (Print)
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/https://doi.org/10.1007/s00153-008-0067-5
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/s00153-008-0067-5#article-info
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