Weak Global Dimension of Smash Products of Hopf Algebras
Received:April 02, 2004  
Key Words: weak global dimension   module algebra   smash product.  
Fund Project:the National Natural Science Foundation of China (10271081) and the Natural Science Foundation of Beijing (1042004)
Author NameAffiliation
WANG Zhi-xi Dept. of Math.
Capital Normal University
Beijing
China 
ZHAO Hui Dept. of Math.
Capital Normal University
Beijing
China 
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Abstract:
      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 $A$.
Citation:
DOI:10.3770/j.issn:1000-341X.2006.01.008
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