Artículo
Discrete duality for 3-valued Lukasiewicz-Moisil algebras
Fecha de publicación:
03/2017
Editorial:
World Scientific Publishing
Revista:
Asian-European Journal of Mathematics
ISSN:
1793-7183
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
In 2011, Düntsch and Orlowska obtained a discrete duality for regular double Stone algebras. On the other hand, it is well known that regular double Stone algebras are polinominally equivalent to 3-valued Lukasiewicz-Moisil algebras (or LM3-algebras). In [R. Cignoli, Injective De Morgan and Kleene algebra, Proc. Amer. Math. Soc. 47 (1975) 269-278], LM3-algebras are considered as a Kleene algebras (L,∨,∧,∼, 0, 1) endowed with a unary operation : L → L, satisfying the properties: a∨ ∼ a = 1, ∼ a ∧ a = a∧ ∼ a and a∨b ≤(a ∨ b). Motivated by this result, in this paper, we determine another discrete duality for LM3-algebras, extending the discrete duality to De Morgan algebras described in [W. Dzik, E. Orlowska and C. van Alten, Relational representation theorems for general lattices with negations, in Relations and Kleene Algebra in Computer Science, Lecture Notes in Computer Science, Vol. 4136 (Springer, Berlin, 2006), pp. 162-176].
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Articulos(CCT - SAN JUAN)
Articulos de CENTRO CIENTIFICO TECNOLOGICO CONICET - SAN JUAN
Articulos de CENTRO CIENTIFICO TECNOLOGICO CONICET - SAN JUAN
Citación
Pelaitay, Gustavo Andrés; Discrete duality for 3-valued Lukasiewicz-Moisil algebras; World Scientific Publishing; Asian-European Journal of Mathematics; 10; 1; 3-2017; 1-6
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