1. A representation theorem for tense n × m-valued Łukasiewicz-Moisil algebras
- Creator:
- Figallo, Aldo Victorio and Pelaitay, Gustavo
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- n-valued Łukasiewicz-Moisil algebra, tense n-valued Łukasiewicz-Moisil algebra, and n × m n-valued Łukasiewicz-Moisil algebra
- Language:
- English
- Description:
- In 2000, Figallo and Sanza introduced n × m-valued Lukasiewicz-Moisil algebras which are both particular cases of matrix Lukasiewicz algebras and a generalization of n-valued Lukasiewicz-Moisil algebras. Here we initiate an investigation into the class tLMn×m of tense n × m-valued Lukasiewicz-Moisil algebras (or tense LMn×m-algebras), namely n×m-valued Lukasiewicz-Moisil algebras endowed with two unary operations called tense operators. These algebras constitute a generalization of tense Lukasiewicz-Moisil algebras (or tense LMn-algebras). Our most important result is a representation theorem for tense LMn×m-algebras. Also, as a corollary of this theorem, we obtain the representation theorem given by Georgescu and Diaconescu in 2007, for tense LMn-algebras.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public