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dc.creatorCelani, Sergio Arturo-
dc.creatorSan Martín, Hernán Javier-
dc.date2018-05-23T13:50:26Z-
dc.date2018-05-23T13:50:26Z-
dc.date2015-09-
dc.date2018-05-21T14:40:21Z-
dc.date.accessioned2019-04-29T15:41:08Z-
dc.date.available2019-04-29T15:41:08Z-
dc.date.issued2018-05-23T13:50:26Z-
dc.date.issued2018-05-23T13:50:26Z-
dc.date.issued2015-09-
dc.date.issued2018-05-21T14:40:21Z-
dc.identifierCelani, Sergio Arturo; San Martín, Hernán Javier; Frontal operators in distributive lattices with a generalized implication; WorldScientific Open Access; Asian-European Journal of Mathematics; 8; 3; 9-2015; 1-22-
dc.identifier1793-7183-
dc.identifierhttp://hdl.handle.net/11336/45974-
dc.identifierCONICET Digital-
dc.identifierCONICET-
dc.identifier.urihttp://rodna.bn.gov.ar:8080/jspui/handle/bnmm/299475-
dc.descriptionWe introduce a family of extensions of bounded distributive lattices. These extensions are obtained by adding two operations: an internal unary operation, and a function (called generalized implication) that maps pair of elements to ideals of the lattice. A bounded distributive lattice with a generalized implication is called gi-lattice in [4]. The main goal of this paper is to introduce and study the category of frontal gi-lattices (and some subcategories of it). This category can be seen as a generalization of the category of frontal weak Heyting algebras ([9]). In particular, we study the case of frontal gi-lattices where the generalized implication is defined as the annihilator ([11], [15]). We give a Priestley’s style duality for each one of the new classes of structures considered.-
dc.descriptionFil: Celani, Sergio Arturo. Universidad Nacional del Centro de la Provincia de Buenos Aires.Facultad de Ciencias Exactas; Argentina-
dc.descriptionFil: San Martín, Hernán Javier. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina-
dc.formatapplication/pdf-
dc.formatapplication/pdf-
dc.languageeng-
dc.publisherWorldScientific Open Access-
dc.relationinfo:eu-repo/semantics/altIdentifier/doi/https://dx.doi.org/10.1142/S1793557115500394-
dc.relationinfo:eu-repo/semantics/altIdentifier/url/https://www.worldscientific.com/doi/abs/10.1142/S1793557115500394-
dc.rightsinfo:eu-repo/semantics/restrictedAccess-
dc.rightshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/-
dc.sourcereponame:CONICET Digital (CONICET)-
dc.sourceinstname:Consejo Nacional de Investigaciones Científicas y Técnicas-
dc.sourceinstacron:CONICET-
dc.subjectDistributive lattices-
dc.subjectGeneralized implication-
dc.subjectFrontal operators-
dc.subjectPriestley duality-
dc.subjectMatemática Pura-
dc.subjectMatemáticas-
dc.subjectCIENCIAS NATURALES Y EXACTAS-
dc.titleFrontal operators in distributive lattices with a generalized implication-
dc.typeinfo:eu-repo/semantics/article-
dc.typeinfo:eu-repo/semantics/publishedVersion-
dc.typeinfo:ar-repo/semantics/articulo-
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