A Note on Finitistic Dimension of Hopf-Galois Extensions |
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| Authors: | Bing-liang Shen Xuan Zhou |
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| Institution: | 1. Shanghai University of Finance &2. Economics Zhejiang College , Jinhua , China bingliangshen@gmail.com;4. Department of Mathematics , Jiangsu Institute of Education , Nanjing , China |
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| Abstract: | Let H be a finite-dimensional Hopf algebra over a field k and A/B be a right H-Galois extension. If the functors A ?B ? and B(?) are both separable, then the finitistic dimension of A is equal to that of B. |
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| Keywords: | Finitistic dimension Hopf–Galois extension Separable functor |
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