| Hopf代数的冲积的弱整体维数 |
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| 引用本文： | 王志玺,赵慧. Hopf代数的冲积的弱整体维数[J]. 数学研究及应用, 2006, 26(1): 40-42 |
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| 作者姓名： | 王志玺 赵慧 |
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| 作者单位： | 首都师范大学数学系,北京,100037 |
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| 基金项目： | the National Natural Science Foundation of China (10271081)，the Natural Science Foundation of Beijing (1042004) |
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| 摘 要： | 设H是有限维Hopf代数,A是交换的H-模代数。当H~*是幺模且A中存在迹为1的元素时,本文证明冲积A#H与代数A的弱整体维数相等。
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| 关 键 词： | 弱整体维数 模代数 冲积 |
| 文章编号： | 1000-341X(2006)01-0040-03 |
| 收稿时间： | 2004-04-02 |
| 修稿时间： | 2004-04-02 |
Weak Global Dimension of Smash Products of Hopf Algebras |
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| WANG Zhi-xi and ZHAO Hui. Weak Global Dimension of Smash Products of Hopf Algebras[J]. Journal of Mathematical Research with Applications, 2006, 26(1): 40-42 |
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| Authors: | WANG Zhi-xi and ZHAO Hui |
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| Affiliation: | Dept. of Math.; Capital Normal University; Beijing; China;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. |
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| Keywords: | weak global dimension module algebra smash product. |
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