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A Topological Approach to Tense LMn×m-Algebras

Aldo V. Figallo;  Inés Pascual;  Gustavo Pelaitay — 2020

Bulletin of the Section of Logic

In 2015, tense n × m-valued Lukasiewicz–Moisil algebras (or tense LMn×m-algebras) were introduced by A. V. Figallo and G. Pelaitay as an generalization of tense n-valued Łukasiewicz–Moisil algebras. In this paper we continue the study of tense LMn×m-algebras. More precisely, we determine a Priestley-style duality for these algebras. This duality enables us not only to describe the tense LMn×m-congruences on a tense LMn×m-algebra, but also to characterize the simple and subdirectly irreducible tense...

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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