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dc.contributor.author
Dubuc, Eduardo Julio
dc.contributor.author
Poveda, Yuri A.
dc.date.available
2017-04-10T17:59:21Z
dc.date.issued
2010-01-15
dc.identifier.citation
Dubuc, Eduardo Julio; Poveda, Yuri A.; Representation theory of MV-algebras; Elsevier; Annals Of Pure And Applied Logic; 161; 8; 15-1-2010; 1024-1046
dc.identifier.issn
0168-0072
dc.identifier.uri
http://hdl.handle.net/11336/15070
dc.description.abstract
In this paper we develop a general representation theory for MV-algebras. We furnish the appropriate categorical background to study this problem. Our guide line is the theory of classifying topoi of coherent extensions of universal algebra theories. Our main result corresponds, in the case of MV-algebras and MV-chains, to the representation of commutative rings with unit as rings of global sections of sheaves of local rings. We prove that any MV-algebra is isomorphic to the MV-algebra of all global sections of a sheaf of MV-chains on a compact topological space. This result is intimately related to McNaughton’s theorem, and we explain why our representation theorem can be viewed as a vast generalization of McNaughton’s theorem. In spite of the language used in this abstract, we have written this paper in the hope that it can be read by experts in MV-algebras but not in sheaf theory, and conversely.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Elsevier
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Mv-Algebra
dc.subject
Sheaf
dc.subject
Representation
dc.subject
Mcnauhton
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Representation theory of MV-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
2017-04-06T16:52:00Z
dc.journal.volume
161
dc.journal.number
8
dc.journal.pagination
1024-1046
dc.journal.pais
Países Bajos
dc.journal.ciudad
Amsterdam
dc.description.fil
Fil: Dubuc, Eduardo Julio. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina
dc.description.fil
Fil: Poveda, Yuri A.. Universidad Tecnologica de Pereira; Colombia
dc.journal.title
Annals Of Pure And Applied Logic
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0168007209002176
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.apal.2009.12.006
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