EN
Let $A #_{T} H$ denote the twisted smash product of an arbitrary algebra A and a Hopf algebra H over a field. We present an analogue of the celebrated Blattner-Montgomery duality theorem for $A #_{T} H$, and as an application we establish the relationship between the homological dimensions of $A #_{T} H$ and A if H and its dual H* are both semisimple.