We obtain necessary and sufficient conditions for the functor F : ∪/Ac (ψ) → Mc on the category of partial entwined modules that forgets the A-action to be separable. As an application, we prove a Maschke-type t...We obtain necessary and sufficient conditions for the functor F : ∪/Ac (ψ) → Mc on the category of partial entwined modules that forgets the A-action to be separable. As an application, we prove a Maschke-type theorem for the category of partial entwined modules.展开更多
基金The work is supported by the Key University Science Research Project of Anhui Province (KJ2015A294), the China Postdoctoral Science Foundation (2015M571725), the Fund of Science and Technology Department of Guizhou Province (2014GZ81365) and the Program for Science and Technology Innovation Talents in Education Department of Guizhou Province (KY[20151481).
文摘We obtain necessary and sufficient conditions for the functor F : ∪/Ac (ψ) → Mc on the category of partial entwined modules that forgets the A-action to be separable. As an application, we prove a Maschke-type theorem for the category of partial entwined modules.