Discrete Duality for Tense Łukasiewicz–Moisil Algebras

Article type: Research Article

Authors: Figallo, Aldo V. | Pelaitay, Gustavo

Affiliations: Instituto de Ciencias Básicas, Universidad Nacional de San Juan, San Juan, Argentina. avfigallo@gmail.com; gpelaitay@gmail.com

Note: [] Address for correspondence: Instituto de Ciencias Básicas, Universidad Nacional de San Juan, San Juan, Argentina

Note: [] The support of CONICET is gratefully acknowledged by Gustavo Pelaitay Also works: Departamento de Matemática, Universidad Nacional de San Juan, San Juan, Argentina

Abstract: In 2007, tense Łukasiewicz–Moisil algebras were introduced by Diaconescu and Georgescu as an algebraic counterpart of tense n–valued Moisil logic. These algebras constitute a generalization of tense algebras. In this paper we describe a discrete duality for tense Łukasiewicz–Moisil algebras bearing in mind the results indicated by Dzik, Orłowska and van Alten in 2006, for De Morgan algebras.

Keywords: n–valued Łukasiewicz–Moisil algebras, tense Łukasiewicz–Moisil algebras, tense operators, discrete duality

DOI: 10.3233/FI-2015-1160

Journal: Fundamenta Informaticae, vol. 136, no. 4, pp. 317-329, 2015