| Hom-Hopf代数上的余代数结构 |
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| 引用本文： | 郑乃峰.Hom-Hopf代数上的余代数结构[J].数学研究及应用,2015,35(6):605-612. |
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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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| 摘 要： | Let(C, α) and(H, β) be Hom-bialgebras and ω : C H → H C a linear map.We introduce the concept of a Hom-ω-crossed coproduct(Cω σ H, γ) and we give necessary and sufficient conditions for the new object to be a Hom-Hopf algebra.
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| 关 键 词： | Hom-Hopf代数 Hom-$\omega$-交叉余积 $\omega$-交叉余积 |
| 收稿时间： | 2014/10/30 0:00:00 |
| 修稿时间： | 3/9/2015 12:00:00 AM |
The Coalgebra Structure over Hom-Hopf Algebra |
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| Naifeng ZHENG.The Coalgebra Structure over Hom-Hopf Algebra[J].Journal of Mathematical Research with Applications,2015,35(6):605-612. |
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| Authors: | Naifeng ZHENG |
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| Institution: | Faculty of Science, Ningbo University, Zhejiang $315211$, P. R. China |
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| Abstract: | Let $(C,\alpha)$ and $(H,\beta)$ be Hom-bialgebras and $\omega:C\otimes H\rightarrow H\otimes C$ a linear map. We introduce the concept of a Hom-$\omega$-crossed coproduct $(C_{\omega}\bowtie_{\sigma} H,\gamma)$ and we give necessary and sufficient conditions for the new object to be a Hom-Hopf algebra. |
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| Keywords: | Hom-Hopf algebra Hom-$\omega$-crossed coproduct $\omega$-crossed coproduct |
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