Abelian l-groups with strong unit and perfect MV-algebras

By L.P. Belluce, A. Di Nola, B. Gerla

We investigate the class of abelian l-groups with strong unit corresponding to perfect MV-algebras via the Gamma functor, showing that this is a universal subclass of the class of all abelian l-groups with strong unit and describing the formulas that axiomatize it. We further describe results for classes of abelian l-groups with strong unit corresponding to local MV-algebras with finite rank.