Sesión Lógica y ComputabilidadOn the construction of $3\times 3$--valued Łukasiewicz-Moisil algebras
Carlos Gallardo
Universidad Nacional del Sur, Argentina - Esta dirección de correo electrónico está siendo protegida contra los robots de spam. Necesita tener JavaScript habilitado para poder verlo.
In 1971, Georgescu and Vraciu [1] introduced a new class of algebras which they called monadic n-valued Łukasiewicz–Moisil algebras. This subject caused great interest and Figallo and Sanza [2] introduced and investigated monadic $n\times m$-valued Łukasiewicz–Moisil algebras which constitute a generalization of them. In this note, we construct a $3\times 3$--valued Łukasiewicz-Moisil algebras from a monadic $3\times 3$--valued Łukasiewicz-Moisil algebras, generalizing A. Monteiro's construction. Besides, we construct a monadic $3\times 3$--valued Łukasiewicz-Moisil algebras from a monadic $n\times m$--valued Łukasiewicz-Moisil algebras, generalizing V. Boicescu's construction.
Referencias
[1] G. Georgescu, C. Vraciu, Algebre Boole monadice si algebre Łukasiewicz monadice, Studii Cerc. Mat., 23, 1025-1048 (1971)
[2] A.V. Figallo, C. Sanza, Monadic nxm-valued Łukasiewicz-Moisil algebras, Mathematica Bohemica, 4, 425-447 (2012)