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dc.contributor.author
Castaño, Diego Nicolás
dc.date.available
2018-11-16T19:40:42Z
dc.date.issued
2017-12
dc.identifier.citation
Castaño, Diego Nicolás; Implicative subreducts of MV-algebras: free and weakly projective objects; Birkhauser Verlag Ag; Algebra Universalis; 78; 4; 12-2017; 579-600
dc.identifier.issn
0002-5240
dc.identifier.uri
http://hdl.handle.net/11336/64648
dc.description.abstract
In this article, we explore in some detail the free and weakly projective objects of the variety of Łukasiewicz implication algebras (the implicative subreducts of MV-algebras). We review the two already known descriptions of finitely generated free algebras, giving new insights into their structure and their connection, as well as providing new proofs of the characterizations. We give a representation theorem for weakly projective algebras as algebras of certain McNaughton functions restricted to rational polyhedra and prove that finitely generated weakly projective algebras coincide with finitely presented ones. We also prove that finite chains are the only totally ordered weakly projective examples in this variety.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Birkhauser Verlag Ag
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Lukasiewicz Logic
dc.subject
Mv-Algebra
dc.subject
Implicative Algebra
dc.subject
Free Algebra
dc.subject
Projective
dc.subject
Finitely Presented
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Implicative subreducts of MV-algebras: free and weakly projective objects
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2018-09-18T14:25:56Z
dc.identifier.eissn
1420-8911
dc.journal.volume
78
dc.journal.number
4
dc.journal.pagination
579-600
dc.journal.pais
Suiza
dc.description.fil
Fil: Castaño, Diego Nicolás. 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
Algebra Universalis
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/s00012-017-0474-8
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/s00012-017-0474-8
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