| 关于$omega$-Smash余积Hopf代数的$(f,omega)$相容对$(B,,H)$ |
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| 引用本文： | 郑乃峰. 关于$omega$-Smash余积Hopf代数的$(f,omega)$相容对$(B,,H)$[J]. 数学研究及应用, 2010, 30(2): 249-256 |
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| 作者姓名： | 郑乃峰 |
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| 作者单位： | 宁波大学理学院, 浙江 宁波 315211 |
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| 基金项目： | 国家自然科学基金(Grant No.60873267). |
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| 摘 要： | In this paper we introduce the notion of （f,ω）-compatible pair （B,H）, by which we construct a Hopf algebra in the category HHYD of Yetter-Drinfeld H-modules by twisting the comultiplication of B. We also study the property of ω-smash coproduct Hopf algebras Bω H.
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| 关 键 词： | Smash余积 Hopf代数 相容 乘法 扭曲 |
| 收稿时间： | 2007-12-25 |
| 修稿时间： | 2008-07-06 |
($f,omega$)-Compatible Pair $(B,H)$ for $omega$-Smash Coproduct Hopf Algebras |
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| Nai Feng ZHENG. ($f,omega$)-Compatible Pair $(B,H)$ for $omega$-Smash Coproduct Hopf Algebras[J]. Journal of Mathematical Research with Applications, 2010, 30(2): 249-256 |
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| Authors: | Nai Feng ZHENG |
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| Affiliation: | Faculty of Science, Ningbo University, Zhejiang 315211, P. R. China |
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| Abstract: | In this paper we introduce the notion of $(f,omega)$-compatible pair $(B,H)$, by which we construct a Hopf algebra in the category $^H_H$YD of Yetter-Drinfeld $H$-modules by twisting the comultiplication of $B$. We also study the property of $omega$-smash coproduct Hopf algebras $B_{omega}bowtie H$. |
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| Keywords: | $omega$-smash coproduct Hopf algebras $(f,omega)$-compatible pair Yetter-Drinfeld category. |
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