  In this paper we modify and generalize a construction presented by Novotn\'y:
given a groupoid (a set equipped with a binary operation), it is defined a
mono-unary algebra corresponding to that specific groupoid. We shall introduce
and study a functor from the category of n-ary groupoids to the category of
mono-unary algebras. The main result of this paper concerns the construction of
homomorphisms between n-ary groupoids, a natural generalization of the method
presented by Novotn\'y.
