扭曲冲积的同调维数

Homological dimensions of twisted smash products

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.

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.