A faithfully flat Hopf-Galois extension of a homologically smooth algebra by a homologically smooth Hopf algebra is homologically smooth.
Rigid dualizing complex for quantum enveloping algebras an d algebras of general- ized differential operators
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Homological smoothness of Hopf-Galois extensions
A faithfully flat Hopf-Galois extension of a homologically smooth algebra by a homologically smooth Hopf algebra is homologically smooth.