A Note on Twisted Hopf Algebras
Received:April 29, 2011  Revised:December 11, 2011
Key Words: Hopf algebras   twisted Hopf algebras   projective dimension   global dimension.  
Fund Project:Supported by the National Natural Science Foundation of China (Grant No.10901098).
Author NameAffiliation
Yanhua WANG Department of Applied Mathematics, Shanghai University of Finance and Economics, Shanghai 200433, P. R. China 
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Abstract:
      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 $k$.
Citation:
DOI:10.3770/j.issn:2095-2651.2012.05.007
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