Let H be a finite dimensional Hopf algebra and A a commutative H-module algebra. We prove that the smash product A#H is of the same weak global homological dimension as A, provided that H^＊ is unimodular and there is...Let H be a finite dimensional Hopf algebra and A a commutative H-module algebra. We prove that the smash product A#H is of the same weak global homological dimension as A, provided that H^＊ is unimodular and there is a trace one element in A.展开更多
基金the National Natural Science Foundation of China (10271081) the Natural Science Foundation of Beijing (1042004)
文摘Let H be a finite dimensional Hopf algebra and A a commutative H-module algebra. We prove that the smash product A#H is of the same weak global homological dimension as A, provided that H^＊ is unimodular and there is a trace one element in A.
