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dc.contributor.author
Abad, Manuel  
dc.contributor.author
Díaz Varela, José Patricio  
dc.contributor.author
Torrens, Antoni  
dc.date.available
2020-01-21T00:03:07Z  
dc.date.issued
2004-11  
dc.identifier.citation
Abad, Manuel; Díaz Varela, José Patricio; Torrens, Antoni; Topological representation for implication algebras; Birkhauser Verlag Ag; Algebra Universalis; 52; 1; 11-2004; 39-48  
dc.identifier.issn
0002-5240  
dc.identifier.uri
http://hdl.handle.net/11336/95363  
dc.description.abstract
In this paper we give a description of an implication algebra A as a union of a unique family of filters of a suitable Boolean algebra Bo(A), called the Boolean closure of A. From this representation we obtain a notion of topological implication space and we give a dual equivalence based in the Stone representation for Boolean algebras. As an application we provide the implication space of all free implication algebras.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Birkhauser Verlag Ag  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
BOOLEAN ALGEBRAS  
dc.subject
BOOLEAN SPACES  
dc.subject
DUAL CATEGORICAL EQUIVALENCE  
dc.subject
IMPLICATION ALGEBRAS  
dc.subject
IMPLICATION SPACES  
dc.subject.classification
Matemática Aplicada  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
Topological representation for implication algebras  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2019-12-18T13:57:10Z  
dc.journal.volume
52  
dc.journal.number
1  
dc.journal.pagination
39-48  
dc.journal.pais
Suiza  
dc.journal.ciudad
Basilea  
dc.description.fil
Fil: Abad, Manuel. Universidad Nacional del Sur. Departamento de Matemática; Argentina  
dc.description.fil
Fil: Díaz Varela, José Patricio. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Matemática Bahía Blanca. Universidad Nacional del Sur. Departamento de Matemática. Instituto de Matemática Bahía Blanca; Argentina  
dc.description.fil
Fil: Torrens, Antoni. Universidad de Barcelona; España  
dc.journal.title
Algebra Universalis  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/s00012-004-1872-2  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007%2Fs00012-004-1872-2#article-info  

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