Paper
Artin-Schelter Gorenstein property of Hopf Galois extensions
Authors
Ruipeng Zhu
Abstract
This paper investigates the homological properties of the faithfully flat Hopf Galois extension . It establishes that when is a noetherian affine PI algebra and is AS Gorenstein, inherits the AS Gorenstein property. Furthermore, we demonstrate that injective dimension serves as a monoidal invariant for AS Gorenstein Hopf algebras. Specifically, if two such Hopf algebras have equivalent monoidal categories of comodules, then their injective dimensions are equal.