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dc.contributor.author
Sagastume, Marta Susana  
dc.contributor.author
San Martín, Hernán Javier  
dc.date.available
2018-08-06T20:34:14Z  
dc.date.issued
2016-04  
dc.identifier.citation
Sagastume, Marta Susana; San Martín, Hernán Javier; A Categorical Equivalence Motivated by Kalman’s Construction; Kluwer Academic Publishers; Studia Logica; 104; 2; 4-2016; 185-208  
dc.identifier.issn
0039-3215  
dc.identifier.uri
http://hdl.handle.net/11336/54338  
dc.description.abstract
An equivalence between the category of MV-algebras and the category (Formula presented.) is given in Castiglioni et al. (Studia Logica 102(1):67–92, 2014). An integral residuated lattice with bottom is an MV-algebra if and only if it satisfies the equations (Formula presented.) and (Formula presented.). An object of (Formula presented.) is a residuated lattice which in particular satisfies some equations which correspond to the previous equations. In this paper we extend the equivalence to the category whose objects are pairs (A, I), where A is an MV-algebra and I is an ideal of A.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Kluwer Academic Publishers  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
Adjunction  
dc.subject
Categorical Equivalence  
dc.subject
Ideals  
dc.subject
Mv-Algebras  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
A Categorical Equivalence Motivated by Kalman’s Construction  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2018-08-06T17:41:58Z  
dc.journal.volume
104  
dc.journal.number
2  
dc.journal.pagination
185-208  
dc.journal.pais
Países Bajos  
dc.journal.ciudad
Dordrecht  
dc.description.fil
Fil: Sagastume, Marta Susana. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matemáticas; Argentina  
dc.description.fil
Fil: San Martín, Hernán Javier. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matemáticas; Argentina  
dc.journal.title
Studia Logica  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/https://dx.doi.org/10.1007/s11225-015-9632-1  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007%2Fs11225-015-9632-1