Artículo
Varieties of pseudocomplemented Kleene algebras
Castaño, Diego Nicolás
; Castaño, Valeria Marcela
; Díaz Varela, José Patricio
; Muñoz Santis, Marcela Paola
Fecha de publicación:
01/04/2021
Editorial:
John Wiley & Sons
Revista:
Mathematical Logic Quarterly
ISSN:
0942-5616
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
In this paper we study the subdirectly irreducible algebras in the variety ℳ of pseudocomplemented De Morgan algebras by means of their De Morgan p-spaces. We introduce the notion of the body of an algebra ∈ℳ and determine Body() when is subdirectly irreducible. As a consequence of this, in the case of pseudocomplemented Kleene algebras, two special subvarieties arise naturally, for which we give explicit identities that characterise them. We also introduce a subvariety ℬ of ℳ , namely the variety of bundle pseudocomplemented Kleene algebras, fully describe its subvariety lattice and find explicit equational bases for each subvariety. In addition, we study the subvariety ℬ0 of ℬ generated by the simple members of ℬ , determine the structure of the free algebra over a finite set in this variety and their finite weakly projective algebras.
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Articulos(INMABB)
Articulos de INST.DE MATEMATICA BAHIA BLANCA (I)
Articulos de INST.DE MATEMATICA BAHIA BLANCA (I)
Citación
Castaño, Diego Nicolás; Castaño, Valeria Marcela; Díaz Varela, José Patricio; Muñoz Santis, Marcela Paola; Varieties of pseudocomplemented Kleene algebras; John Wiley & Sons; Mathematical Logic Quarterly; 67; 1; 01-4-2021; 88-104
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