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dc.contributor.author
Castiglioni, José Luis  
dc.contributor.author
Ertola Biraben, Rodolfo Cristian  
dc.date.available
2018-06-22T19:20:42Z  
dc.date.issued
2017-08  
dc.identifier.citation
Castiglioni, José Luis; Ertola Biraben, Rodolfo Cristian; Modal operators for meet-complemented lattices; Oxford University Press; Logic Journal of the IGPL (print); 25; 4; 8-2017; 465-495  
dc.identifier.issn
1367-0751  
dc.identifier.uri
http://hdl.handle.net/11336/49715  
dc.description.abstract
Weinvestigate some modal operators of necessity and possibility that form an adjoint pair in the context of meet-complemented lattices. We prove that they form an equational class and we study the modalities, i.e. the finite sequences of unary operators. We proceed in stages, first considering the not necessarily distributive case and also considering the case with the algebraic version of the 4 axiom in modal logic. We compare our operators with other operators in the literature, to wit, the maximum Boolean below and operations defined using the dual of the meet-complement.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Oxford University Press  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
Meet-Complemented Lattices  
dc.subject
Modal Operators  
dc.subject
Necessity  
dc.subject
Non-Distributive Lattices  
dc.subject
Possibility  
dc.subject
Univocally Defined Operations  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
Modal operators for meet-complemented 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
2018-06-21T14:18:05Z  
dc.journal.volume
25  
dc.journal.number
4  
dc.journal.pagination
465-495  
dc.journal.pais
Reino Unido  
dc.journal.ciudad
Oxford  
dc.description.fil
Fil: Castiglioni, José Luis. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matemáticas; Argentina. Cidade Universitária; Brasil  
dc.description.fil
Fil: Ertola Biraben, Rodolfo Cristian. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matemáticas; Argentina. Cidade Universitária; Brasil  
dc.journal.title
Logic Journal of the IGPL (print)  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/https://dx.doi.org/10.1093/jigpal/jzx011  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://academic.oup.com/jigpal/article-abstract/25/4/465/3896873  

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