Abstract
Let H be a Hopf algebra and A an H-bimodule algebra. This article investigates homological dimensions and Gorenstein dimensions of L-R smash products A♮H. Several well-known results are generalized. Moreover, we explore the stability of Gorenstein projective (flat) precovers and Gorenstein injective preenvelopes between the category of left A-modules and the category of left A♮H-modules.
ACKNOWLEDGMENTS
This work is supported by the National Natural Science Foundation of China (11071111). The author is grateful to the referee for his/her comments.
Notes
Communicated by L. Ein.