Tense θ-Valued Lukasiewicz–Moisil Algebras
Carmen Chirita
In this paper we introduce the tense θ-valued Lukasiewicz–Moisil algebras, algebraic structures that arise from two sources: the tense Boolean algebras and the θ-valued Lukasiewicz–Moisil algebras. We will give the basic definitions, properties and examples of this new class of algebras and we will present a categorial relation between tense θ-valued Lukasiewicz–Moisil algebras and tense Boolean algebras. The main result is a representation theorem for the tense θ-valued Lukasiewicz–Moisil algebras.
Keywords: Moisil algebras, Tense Moisil logic, Tense operators.