Specializing properly the parameters contained in the maximal cyclic
representation of the non-restricted A-type quantum algebra at roots of unity,
we find the unique primitive vector in it. We show that the submodule generated
by the primitive vector can be identified with an irreducble highest weight
module of the finite dimensional A-type quantum algebra which is defined as the
subalgebra of the restricted quantum algebra at roots of unity.Comment: LaTeX(2e), 17 page