Dualities for Subresiduated latttices
Dualities for Subresiduated latttices
| cic.isFulltext | true | es |
| cic.isPeerReviewed | true | es |
| cic.lugarDesarrollo | Nucleo Consolidado de Matemática Pura y Aplicada (NUCOMPA) | es |
| cic.lugarDesarrollo | Universidad Nacional del Centro de la Provincia de Buenos Aires | es |
| cic.version | info:eu-repo/semantics/acceptedVersion | es |
| dc.date.accessioned | 2021-11-25T17:04:58Z | |
| dc.date.available | 2021-11-25T17:04:58Z | |
| dc.identifier.uri | https://digital.cic.gba.gob.ar/handle/11746/11376 | |
| dc.title | Dualities for Subresiduated latttices | en |
| dc.type | Artículo | es |
| dcterms.abstract | A subresiduated lattice is a pair (A,D), where A is a bounded distributive lattice, D is a bounded sublattice of A and for every a, b ∈ A there is c ∈ D such that for all d ∈ D, d ∧ a ≤ b if and only if d ≤ c. This c is denoted by a → b. This pair can be regarded as an algebra ⟨A, ∧, ∨,→, 0, 1⟩ of type (2, 2, 2, 0, 0) where D = {a ∈ A : 1 → a = a}. The class of subresiduated lattices is a variety which properly contains to the variety of Heyting algebras. In this paper we present dual equivalences for the algebraic category of subresiduated lattices. More precisely, we develop a spectral style duality and a bitopological style duality for this algebraic category. Finally we study the connections of these results with a known Priestley style duality for the algebraic category of subresiduated lattices. | en |
| dcterms.creator.author | Celani, Sergio | es |
| dcterms.creator.author | Nagy, Agustín Leonel | es |
| dcterms.creator.author | San Martín, Hernán | es |
| dcterms.identifier.other | doi:10.1007/s00012-021-00752-3 | es |
| dcterms.identifier.other | ISSN:0002-5240 | es |
| dcterms.identifier.other | ISSN:1420-8911 | es |
| dcterms.isPartOf.issue | vol. 82, no. 4 | es |
| dcterms.isPartOf.series | Algebra Universalis | es |
| dcterms.issued | 2021 | |
| dcterms.language | Inglés | es |
| dcterms.license | Atribución-NoComercial 4.0 Internacional | es |
| dcterms.subject | Spectral duality | en |
| dcterms.subject | Strict implication | en |
| dcterms.subject.materia | Matemáticas | es |
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