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In this paper we investigate a class of MV-algebras built up by fixing a Boolean algebra, one of its maximal ideals and an  ℓ -group. We use such class to characterize, in the variety generated by all perfect MV-algebras, those MV-algebras which have their perfect skeleton as a quotient, giving an axiomatization of such a class and a representation theorem.

Combining boolean algebras and ℓ -groups in the variety generated by chang’s mv-algebra