  MV-algebras were introduced by Chang to prove the completeness of the
infinite-valued Lukasiewicz propositional calculus. In this paper we give a
categorical equivalence between the varieties of (n+1)-valued MV-algebras and
the classes of Boolean algebras endowed with a certain family of filters.
Another similar categorical equivalence is given by A. Di Nola and A. Lettieri.
  Also, we point out the relations between this categorical equivalence and the
duality established by R. Cignoli, which can be derived from results obtained
by P. Niederkorn on natural dualities for varieties of MV-algebras.
