A new approach to characterization of MV-algebras

By considering the notion of MV-algebras, we recall some results on enumeration of MV-algebras and wecarry out a study on characterization of MV-algebras of orders ۲, ۳, ۴, ۵, ۶ and ۷. We obtain that there is one non-isomorphic MV-algebra of orders ۲, ۳, ۵ and ۷ and two non-isomorphic MV-algebras of orders ۴ and ۶.

Keywords:

MV-algebra , Lattice , distributive lattice , ideal , sub MV-algebra