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A Construction of Axled n-Valued Moisil Algebras
Luiz F. Monteiro

In this note we give a construction of an axled n-valued Moisil algebra [2], Mn(B, I ), from a Boolean algebra B and an ideal I of B. Conversely if L is an axled n-valued Moisil algebra, there exists an ideal I of the the set B(L) of all boolean elements of L such that Mn(B(L), I ) is isomorphic to L. Applying these results we obtain a construction of the following algebras with a set of m free generators: Boolean, three-valued Lukasiewicz, axled n-valued Moisil, n-valued Post and monadic three-valued Lukasiewicz.

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