Functional representation of finitely generated free algebras in subvarieties of BL-algebras

Busaniche, Manuela; Castiglioni, José Luis; Lubomirsky, Noemí

doi:10.1016/j.apal.2019.102757

Artículo

Functional representation of finitely generated free algebras in subvarieties of BL-algebras

Busaniche, Manuela Icon

; Castiglioni, José Luis Icon

; Lubomirsky, Noemí Icon

Fecha de publicación: 11/2019

Editorial: Elsevier Science

Revista: Annals Of Pure And Applied Logic

ISSN: 0168-0072

Idioma: Inglés

Tipo de recurso: Artículo publicado

Clasificación temática:

Matemática Pura

Resumen

Consider any subvariety of BL-algebras generated by a single BL-chain which is the ordinal sum of the standard MV-algebra on [0,1] and a basic hoop H. We present a geometrical characterization of elements in the finitely generated free algebra of each of these subvarieties. In this characterization there is a clear insight of the role of the regular and dense elements of the generating chain. As an application, we analyze maximal and prime filters in the free algebra.

Palabras clave: BL-ALGEBRAS , FREE ALGEBRAS , WAJSBERG HOOPS

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Excepto donde se diga explícitamente, este item se publica bajo la siguiente descripción: Atribución-NoComercial-SinDerivadas 2.5 Argentina (CC BY-NC-ND 2.5 AR)

Identificadores

URI: http://hdl.handle.net/11336/129830

URL: https://linkinghub.elsevier.com/retrieve/pii/S0168007219301204

DOI: http://dx.doi.org/10.1016/j.apal.2019.102757

Colecciones

Articulos(CCT - LA PLATA)
Articulos de CTRO.CIENTIFICO TECNOL.CONICET - LA PLATA

Articulos(IMAL)
Articulos de INST.DE MATEMATICA APLICADA "LITORAL"

Citación

Busaniche, Manuela; Castiglioni, José Luis; Lubomirsky, Noemí; Functional representation of finitely generated free algebras in subvarieties of BL-algebras; Elsevier Science; Annals Of Pure And Applied Logic; 171; 2; 11-2019; 1-30

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