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- W204861844 abstract "Let H be a finite dimensional cocommutative Hopf algebra and A an H-module algebra, ln this paper, we characterize the projectivity (injectivity) of M as a left A#σ H-module when it is projective (injective) as a left A-module. The sufficient and necessary condition for A#σ H, the crossed product, to have finite global homological dimension is given, in terms of the global homological dimension of A and the surjectivity of trace maps, provided that H is cocommutative and A is commutative." @default.
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- W204861844 date "2004-01-01" @default.
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- W204861844 title "Homological Dimension of Crossed Products of Hopf Algebras" @default.
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