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dc.contributor.author
Celani, Sergio Arturo
dc.contributor.author
Jansana Ferrer, Ramon
dc.date.available
2023-08-10T12:33:30Z
dc.date.issued
2022-08
dc.identifier.citation
Celani, Sergio Arturo; Jansana Ferrer, Ramon; A variety of algebras closely related to subordination algebras; Taylor & Francis Ltd; Journal Of Applied Non-classical Logics; 32; 2-3; 8-2022; 200-238
dc.identifier.issn
1166-3081
dc.identifier.uri
http://hdl.handle.net/11336/207742
dc.description.abstract
We introduce a variety of algebras in the language of Boolean algebras with an extra implication, namely the variety of pseudo-subordination algebras, which is closely related to subordination algebras. We believe it provides a minimal general algebraic framework where to place and systematise the research on classes of algebras related to several kinds of subordination algebras. We also consider the subvariety of pseudo-contact algebras, related to contact algebras, and the subvariety of the strict implication algebras introduced in Bezhanishvili et al. [(2019). A strict implication calculus for compact Hausdorff spaces. Annals of Pure and Applied Logic, 170, 102714]. The variety of pseudo-subordination algebras is term equivalent to the variety of Boolean algebras with a binary modal operator. We exploit this fact in our study. In particular, to obtain a topological duality from which we derive the known topological dualities for subordination algebras and contact algebras.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Taylor & Francis Ltd
dc.rights
info:eu-repo/semantics/restrictedAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
MODAL LOGIC
dc.subject
PRECONTACT ALGEBRAS
dc.subject
REGION-BASED THEORY OF SPACE
dc.subject
SUBORDINATION ALGEBRAS
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
A variety of algebras closely related to subordination 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
2023-06-26T11:43:20Z
dc.journal.volume
32
dc.journal.number
2-3
dc.journal.pagination
200-238
dc.journal.pais
Estados Unidos
dc.description.fil
Fil: Celani, Sergio Arturo. Universidad Nacional del Centro de la Provincia de Buenos Aires; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Tandil; Argentina
dc.description.fil
Fil: Jansana Ferrer, Ramon. Universidad de Barcelona; España
dc.journal.title
Journal Of Applied Non-classical Logics
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1080/11663081.2022.2109122
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.tandfonline.com/doi/full/10.1080/11663081.2022.2109122
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