摘要
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.
设H是有限维Hopff代数，A是交换的H-模代数．当H^＊是幺模且A中存在迹为1的元素时，本文证明冲积A#H与代数A的弱整体维数相等．
基金
the National Natural Science Foundation of China (10271081)
the Natural Science Foundation of Beijing (1042004)
