Abelian ℓ-Groups with Strong Unit and Perfect MV-Algebras
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We investigate the class of abelian ℓ-groups with strong unit corresponding to perfect MV-algebras via the Γ 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.
KeywordsLattice-ordered groups MV-algebras Perfect MV-algebras
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