Free nilpotent minimum algebras

Abstract

In the present paper we give a description of the free algebra over an arbitrary set of generators in the variety of nilpotent minimum algebras. Such description is given in terms of a weak boolean product of directly indecomposable algebras over the boolean space corresponding to the boolean subalgebra of the free NM-algebra.

Published: Mathematical Logic Quarterly, 52 N3 (2006), 219-236.