| 关于扭Hopf代数的一些注记 |
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| 引用本文： | 王艳华. 关于扭Hopf代数的一些注记[J]. 数学研究及应用, 2012, 32(5): 582-588 |
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| 作者姓名： | 王艳华 |
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| 作者单位： | 上海财经大学应用数学系, 上海 200433 |
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| 基金项目： | 国家自然科学基金 (Grant No.10901098). |
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| 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.
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| 关 键 词： | Hopf algebras twisted Hopf algebras projective dimension global dimension. |
| 收稿时间： | 2011-04-29 |
| 修稿时间： | 2011-12-11 |
A Note on Twisted Hopf Algebras |
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| Yanhua WANG. A Note on Twisted Hopf Algebras[J]. Journal of Mathematical Research with Applications, 2012, 32(5): 582-588 |
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| Authors: | Yanhua WANG |
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| Affiliation: | 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 $k$. |
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| Keywords: | Hopf algebras twisted Hopf algebras projective dimension global dimension. |
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