  Given an ideal $\mathcal{J}$ on a complex manifold, Andersson and Wulcan
constructed a current $R^\mathcal{J}$ such that the annihilator of
$R^\mathcal{J}$ is $\mathcal{J}$, generalizing the duality theorem for
Coleff-Herrera products. We describe a way to generalize this construction to
ideals on singular varieties.
