扭曲冲积的同调维数

摘要

Based on the fact that when H was semisimple and its dual H*was unimodular then A*H/A was a separable extension , the global dimension , weak dimension and finitistic dimension of A*H were proved to be less than or equal to those of A.The obtained results had some connections with the famous finitistic dimension conjecture .%当H是半单的Hopf代数及其对偶H*是幺模的Hopf代数时,通过构造可分扩张A*H/A,利用比较法得到了扭曲冲积A*H的整体维数、弱维数和有限维数小于或等于子代数A的整体维数、弱维数和有限维数.所得结果与著名的有限维数猜想有一定的联系.