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Notes on monadic n -valued Łukasiewicz algebras

A. V. Figallo, Inés Pascual, Alicia Ziliani (2004)

Mathematica Bohemica

A topological duality for monadic n -valued Łukasiewicz algebras introduced by M. Abad (Abad, M.: Estructuras cíclica y monádica de un álgebra de Łukasiewicz n -valente. Notas de Lógica Matemática 36. Instituto de Matemática. Universidad Nacional del Sur, 1988) is determined. When restricted to the category of Q -distributive lattices and Q -homomorphims, it coincides with the duality obtained by R. Cignoli in 1991. A new characterization of congruences by means of certain closed and involutive subsets...

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