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dc.contributor.author
Busaniche, Manuela  
dc.contributor.author
Cabrer, Leonardo  
dc.contributor.author
Mundici, Daniele  
dc.date.available
2018-01-17T15:59:38Z  
dc.date.issued
2016-06  
dc.identifier.citation
Mundici, Daniele; Cabrer, Leonardo; Busaniche, Manuela; Polyhedral MV-algebras; Elsevier; Fuzzy Sets and Systems; 292; 6-2016; 150-159  
dc.identifier.issn
0165-0114  
dc.identifier.uri
http://hdl.handle.net/11336/33596  
dc.description.abstract
A  polyhedron in R^n  is a finite union of simplexes in R^n. An MV-algebra is  polyhedral if it is isomorphic to the MV-algebra of all continuous I-valued piecewise linear functions with integer coefficients, defined on some polyhedron P in R^n. We characterize polyhedral MV-algebras as finitely generated subalgebras of semisimple tensor products of a simple MV-algebra and a finitely presented MV-algebra. We establish a duality between the category of polyhedral MV-algebras and the category of polyhedra with  Z-maps. We prove that polyhedral MV-algebras are preserved under various kinds of operations, and have the amalgamation property. Strengthening the Hay-Wojcicki theorem, we prove that every polyhedral MV-algebra is strongly semisimple, in the sense of Dubuc-Poveda.  
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
Polyhedron  
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Strong Semisimplicity  
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Amalgamation Property  
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Bouligand–Severi Tangent  
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Duality  
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Finite Presentability  
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Free Product  
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Coproduct  
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Z-Map  
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Tensor Product  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
Polyhedral 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
2017-12-12T18:15:27Z  
dc.journal.volume
292  
dc.journal.pagination
150-159  
dc.journal.pais
Países Bajos  
dc.journal.ciudad
Amsterdam  
dc.description.fil
Fil: Busaniche, Manuela. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; Argentina  
dc.description.fil
Fil: Cabrer, Leonardo. Universita Degli Studi Di Firenze; Italia  
dc.description.fil
Fil: Mundici, Daniele. Universita Degli Studi Di Firenze; Italia  
dc.journal.title
Fuzzy Sets and Systems  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/https://doi.org/10.1016/j.fss.2014.06.015  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0165011414003054?via%3Dihub