  In the smooth case, we prove quasi-flasqueness for the sheaves of all
subelliptic multipliers as well as at each of the steps of the Kohn algorithm
on a pseudoconvex domain in $\C^n.$ We use techniques by Jean-Claude Tougeron
to show that if the domain has a real-analytic defining function, the modified
Kohn algorithm involving generating ideals and taking real radicals only in the
ring of real-analytic germs yields quasi-coherent sheaves. This sharpens a
result obtained by J. J. Kohn in 1979.
