Canonicity in subvarieties of BL-algebras

Busaniche, Manuela; Cabrer, Leonardo Manuel

info:eu-repo/semantics/article

Fecha

2009-09

Registro en:

Busaniche, Manuela; Cabrer, Leonardo Manuel; Canonicity in subvarieties of BL-algebras; Birkhauser Verlag Ag; Algebra Universalis; 62; 4; 9-2009; 375-397

0002-5240

http://hdl.handle.net/11336/75198

CONICET Digital

CONICET

https://repositorioslatinoamericanos.uchile.cl/handle/2250/4412027

Autor

Busaniche, Manuela

Cabrer, Leonardo Manuel

Institución

Consejo Nacional de Investigaciones Científicas y Tecnológicas (Argentina)

Resumen

We prove that every subvariety of BL-algebras which is not finitely generated is not σ-canonical. We also prove π-canonicity for an infinite family of subvarieties of BL-algebras that are not finitely generated. To do so we study the behavior of canonical extensions of ordered sums of posets.

Materias

BL-algebras

Canonicity

Residuated lattices

Completions of algebras

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