3 research outputs found
A topological duality for tense θ -valued ĹukasiewiczâMoisil algebras
In 2011, tense θ-valued ĹukasiewiczâMoisil algebras (or tense LM θ -algebras) were introduced by ChiriĹŁÄ as an algebraic counterpart of the tense θ-valued Moisil propositional logic. In this paper we develop a topological duality for these algebras. In order to achieve this we extend the topological duality given in Figallo et al. (J Mult Valued Logic Soft Comput 16(3â5):303â322, 2010), for θ-valued ĹukasiewiczâMoisil algebras. This new topological duality enables us to describe the tense LM θ -congruences and the tense θLM θ -congruences on a tense LM θ -algebra and also to determine some properties of these algebras.Fil: Figallo, Aldo Victorio. Universidad Nacional de San Juan. Facultad de FilosofĂa, Humanidades y Artes. Instituto de Ciencias BĂĄsicas; ArgentinaFil: Pascual, InĂŠs. Universidad Nacional de San Juan. Facultad de FilosofĂa, Humanidades y Artes. Instituto de Ciencias BĂĄsicas; Argentina. Universidad Nacional de San Juan. Facultad de FilosofĂa, Humanidades y Artes. Departamento de MatemĂĄtica; ArgentinaFil: Pelaitay, Gustavo AndrĂŠs. Universidad Nacional de San Juan. Facultad de FilosofĂa, Humanidades y Artes. Instituto de Ciencias BĂĄsicas; Argentina. Consejo Nacional de Investigaciones CientĂficas y TĂŠcnicas. Centro CientĂfico TecnolĂłgico Conicet - San Juan; Argentin