| Smash积为超限左自由正规化扩张的充分条件及其应用 |
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| 引用本文： | 李方,刘仲奎. Smash积为超限左自由正规化扩张的充分条件及其应用[J]. 数学学报, 1999, 42(2): 377-381. DOI: cnki:ISSN:0583-1431.0.1999-02-022 |
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| 作者姓名： | 李方 刘仲奎 |
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| 作者单位： | 1. 杭州大学数学系,杭州,310028
2. 西北师范大学数学系,兰州,730070 |
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| 基金项目： | 国家自然科学基金!19501007 |
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| 摘 要： | 本文给出了代数A与双代数H的Smash积AH是A的超限左自由正规化扩张的一个充分条件．进一步，主要结果被运用到斜半群环、斜群环和量子群Uq（sl（2））从而给出了它们的一些性质．
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| 关 键 词： | Smash积 超限左自由正规化扩张 斜半群环 量子群 |
| 修稿时间： | :1997-04-1 |
A Sufficient Condition for a Smash Product as a Transfinite Left Free Normaling Extension and Its Applications |
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| Li Fang,Liu Zhongkui. A Sufficient Condition for a Smash Product as a Transfinite Left Free Normaling Extension and Its Applications[J]. Acta Mathematica Sinica, 1999, 42(2): 377-381. DOI: cnki:ISSN:0583-1431.0.1999-02-022 |
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| Authors: | Li Fang Liu Zhongkui |
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| Affiliation: | Li Fang;(Department of Mathematics, Hangzhou University, Hangzhon 310028, P.R. China)Liu Zhongkui;(Department of Mathematics, Northwest Normal University, Lanzhou 730070, P.R. China) |
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| Abstract: | In this paper, a sufficient condition is given under which the smash productA#H is a transfinite left free normalizing extension of the algebra A. Moreover, theresult is applied to a skew semigroup ring, a skew group ring and the quantum groupUq(sl(2)) such that some properties are shown. |
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| Keywords: | Smash product Transfinite left free normalizing extension Skew semigroupring Quantum group |
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