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Let H be a Hopf algebra and let B be a Koszul H-module algebra. We providenecessary and sufficient conditions for a filtered algebra to be aPoincare-Birkhoff-Witt (PBW) deformation of the smash product algebra B#H. Manyexamples of these deformations are given.

Poincare-Birkhoff-Witt deformations of smash product algebras from Hopf actions on Koszul algebras