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dc.contributor.author
Castiglioni, José Luis  
dc.contributor.author
Menni, Matías  
dc.contributor.author
Zuluaga Botero, William Javier  
dc.date.available
2018-08-09T18:25:53Z  
dc.date.issued
2016-05  
dc.identifier.citation
Castiglioni, José Luis; Menni, Matías; Zuluaga Botero, William Javier; A representation theorem for integral rigs and its applications to residuated lattices; Elsevier Science; Journal Of Pure And Applied Algebra; 220; 10; 5-2016; 3533-3566  
dc.identifier.issn
0022-4049  
dc.identifier.uri
http://hdl.handle.net/11336/54815  
dc.description.abstract
We generalize the Dubuc–Poveda representation theorem for MV-algebras so that it applies to other algebraic categories of residuated join-semilattices. In particular, as a corollary, we obtain a representation result for pre-linear residuated join-semilattices in terms of totally ordered fibers. The main result is analogous to the Zariski representation of (commutative) rings and it is proved using tools from topos theory.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Elsevier Science  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/  
dc.subject
Sheaves  
dc.subject
Integral Rigs  
dc.subject
Really Local Objects  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
A representation theorem for integral rigs and its applications to residuated lattices  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2018-08-09T15:20:21Z  
dc.journal.volume
220  
dc.journal.number
10  
dc.journal.pagination
3533-3566  
dc.journal.pais
Países Bajos  
dc.journal.ciudad
Amsterdam  
dc.description.fil
Fil: Castiglioni, José Luis. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata; Argentina. Universidad Nacional de La Plata; Argentina  
dc.description.fil
Fil: Menni, Matías. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata; Argentina. Universidad Nacional de La Plata; Argentina  
dc.description.fil
Fil: Zuluaga Botero, William Javier. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata; Argentina. Universidad Nacional de La Plata; Argentina  
dc.journal.title
Journal Of Pure And Applied Algebra  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0022404916300226  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.jpaa.2016.04.014  

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