2025/01/06 by Zhu, Ruipeng
#16E10 #16E65 #16T05 #FOS: Mathematics #Rings and Algebras (math.RA)
paper · doi:10.48550/arxiv.2501.02828
This paper investigates the homological properties of the faithfully flat Hopf Galois extension A ⊆ B. It establishes that when B is a noetherian affine PI algebra and A is AS Gorenstein, B 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.