Let H be a finite dimensional weak Hopf algebra and A be an Hmodule algebra.In this paper,we mainly discuss the relations of cotorsion dimension and FP-projective dimension between A#H and A.As applications,sufficient...Let H be a finite dimensional weak Hopf algebra and A be an Hmodule algebra.In this paper,we mainly discuss the relations of cotorsion dimension and FP-projective dimension between A#H and A.As applications,sufficient conditions are given for LCD(A#H)=LCD(A)and LFPD(A#H)=LFPD(A).展开更多
文摘Let H be a finite dimensional weak Hopf algebra and A be an Hmodule algebra.In this paper,we mainly discuss the relations of cotorsion dimension and FP-projective dimension between A#H and A.As applications,sufficient conditions are given for LCD(A#H)=LCD(A)and LFPD(A#H)=LFPD(A).
