It is shown that if V is a local monoidal pseudovariety of semigroups, then
K(m)V, D(m)V and LI(m)V are local. Other operators of the form Z(m)(_) are
considered. In the process, results about the interplay between operators
Z(m)(_) and (_)*D_k are obtained.Comment: To appear in International Journal of Algebra and Computatio