A Note on Twisted Hopf Algebras  

作　　者：Yanhua WANG 

机构地区：[1]Department of Applied Mathematics,Shanghai University of Finance and Economics,Shanghai 200433,P.R.China

出　　处：《Journal of Mathematical Research with Applications》2012年第5期582-588,共7页数学研究及应用（英文版）

基　　金：Supported by the National Natural Science Foundation of China (Grant No. 10901098)

摘　　要：In this paper, we get some properties of the antipode of a twisted Hopf algebra. We proved that the graded global dimension of a twisted Hopf algebra coincides with the graded projective dimension of its trivial module k, which is also equal to the projective dimension of k.In this paper, we get some properties of the antipode of a twisted Hopf algebra. We proved that the graded global dimension of a twisted Hopf algebra coincides with the graded projective dimension of its trivial module k, which is also equal to the projective dimension of k.

关 键 词：Hopf algebras twisted Hopf algebras projective dimension global dimension. 

分 类 号：O153.3[理学—数学] O437[理学—基础数学]