Projectivity of a relative Hopf module over the subring of coinvariants
Abstract
Let k be a commutative ring, H a faithfully flat Hopf algebra with bijective antipode, A a k-flat right H-comodule algebra. We investigate when a relative Hopf module is projective over the subring of coinvariants B=A coH, and we study the semisimplicity of the category of relative Hopf modules.
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