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dc.contributor.author Celani, Sergio Arturo
dc.contributor.author Calomino, Ismael Maria
dc.date.available 2018-01-15T20:14:37Z
dc.date.issued 2014-01
dc.identifier.citation Calomino, Ismael Maria; Celani, Sergio Arturo; Stone style duality for distributive nearlattices; Springer; Algebra Universalis; 71; 2; 1-2014; 127-153
dc.identifier.issn 0002-5240
dc.identifier.uri http://hdl.handle.net/11336/33345
dc.description.abstract The aim of this paper is to study the variety of distributive nearlattices with greatest element. We will define the class of N-spaces as sober-like topological spaces with a basis of open, compact, and dually compact subsets satisfying an additional condition. We will show that the category of distributive nearlattices with greatest element whose morphisms are semi-homomorphisms is dually equivalent to the category of N-spaces with certain relations, called N-relations. In particular, we give a duality for the category of distributive nearlattices with homomorphisms. Finally, we apply these results to characterize topologically the one-to-one and onto homomorphisms, the subalgebras, and the lattice of the congruences of a distributive nearlattice.
dc.format application/pdf
dc.language.iso eng
dc.publisher Springer
dc.rights info:eu-repo/semantics/restrictedAccess
dc.rights.uri https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject DISTRIBUTIVE NEARLATTICES
dc.subject PRIME IDEAL
dc.subject TOPOLOGICAL REPRESENTATION
dc.subject STONE SPACES
dc.subject.classification Matemática Pura
dc.subject.classification Matemáticas
dc.subject.classification CIENCIAS NATURALES Y EXACTAS
dc.title Stone style duality for distributive nearlattices
dc.type info:eu-repo/semantics/article
dc.type info:ar-repo/semantics/artículo
dc.type info:eu-repo/semantics/publishedVersion
dc.date.updated 2018-01-12T19:48:12Z
dc.identifier.eissn 1420-8911
dc.journal.volume 71
dc.journal.number 2
dc.journal.pagination 127-153
dc.journal.pais Suiza
dc.journal.ciudad Basilea
dc.description.fil Fil: Celani, Sergio Arturo. Universidad Nacional del Centro de la Provincia de Buenos Aires. Facultad de Ciencias Exactas. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
dc.description.fil Fil: Calomino, Ismael Maria. Universidad Nacional del Centro de la Provincia de Buenos Aires. Facultad de Ciencias Exactas. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
dc.journal.title Algebra Universalis
dc.relation.alternativeid info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/s00012-014-0269-0
dc.relation.alternativeid info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/s00012-014-0269-0
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info:eu-repo/semantics/restrictedAccess Excepto donde se diga explícitamente, este item se publica bajo la siguiente descripción: Creative Commons Attribution-NonCommercial-ShareAlike 2.5 Unported (CC BY-NC-SA 2.5)