  We introduce a master action in noncommutative space, out of which we obtain
the action of the noncommutative Maxwell-Chern-Simons theory. Then, we look for
the corresponding dual theory at both first and second orders in the
noncommutative parameter. At the first order, the dual theory happens to be,
precisely, the action obtained from the usual commutative Self-Dual model by
generalizing the Chern-Simons term to its noncommutative version, including a
cubic term. Since this resulting theory is also equivalent to the
noncommutative massive Thirring model in the large fermion mass limit, we
remove, as a byproduct, the obstacles arising in the generalization to
noncommutative space, and to the first nontrivial order in the noncommutative
parameter, of the bosonization in three dimensions. Then, performing
calculations at the second order in the noncommutative parameter, we explicitly
compute a new dual theory which differs from the noncommutative Self-Dual
model, and further, differs also from other previous results, and involves a
very simple expression in terms of ordinary fields. In addition, a remarkable
feature of our results is that the dual theory is local, unlike what happens in
the non-Abelian, but commutative case. We also conclude that the generalization
to noncommutative space of bosonization in three dimensions is possible only
when considering the first non-trivial corrections over ordinary space.
