| Weak Global Dimension of Smash Products of Hopf Algebras |
| Received:April 02, 2004 |
| Key Words:
weak global dimension module algebra smash product.
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| Fund Project:the National Natural Science Foundation of China (10271081) and the Natural Science Foundation of Beijing (1042004) |
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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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