Gorenstein预盖、预包络和交叉积

摘要

Let A#σH be the crossed product of an algebra A with a Hopf algebra H.Our main aim is to explore the stability of the Gorenstein projective (flat) precovers and Gorenstein injective preenvelopes between the category of left A-modules and the category of left A#σH-modules,which allows us to study the Gorenstein dimensions.%记A#σH是由代数A和Hopf代数H构成的交叉积.我们的主要目的是探索左A-模范畴与左A#σH-模范畴之间的Gorenstein投射(平坦)预盖和Gorenstein内射预包络的稳定性.进而,我们可以研究Gorenstein维数.