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Homological smoothness of Hopf-Galois extensions

Published 5 Dec 2024 in math.KT | (2412.04365v1)

Abstract: We show that if $H$ is a Hopf algebra with bijective antipode and $B \subset A$ is a faithfully flat $H$-Galois extension, then $A$ is homologically smooth if $H$ and $B$ are.

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