| 相关扭曲Hopf模的基本同构定理与相关Yetter-Drinfel'd模 |
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| 引用本文： | 方小利,李金其.相关扭曲Hopf模的基本同构定理与相关Yetter-Drinfel'd模[J].数学学报,2007(5). |
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| 作者姓名： | 方小利 李金其 |
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| 作者单位： | 浙江大学玉泉校区数学系，浙江师范大学数理学院 杭州 310027，金华 321004 |
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| 基金项目： | 国家自然科学基金(10571152)，宁波自然科学基金(2006A610089) |
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| 摘 要： | 扭曲的方法在构造新的代数结构与余代数结构中起了重要的作用.本文首先把扭曲的方法运用到模与余模的构造中,得到扭曲模和扭曲余模;其次在更加一般的情形下给出相关扭曲Hopf模的基本同构定理;最后考虑在HopfYD模中如何使扭曲模构成相关Yetter-Drinfel'd模和相关Hopf模.
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| 关 键 词： | (余)配对双代数 扭曲模 相关扭曲Hopf模 相关Yetter-Drinfel'd模 |
The Fundamental Structure Theorem in Relative Twisting Hopf Modules and Relative Yetter-Drinfel'd Modules |
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| Xiao Li FANG.The Fundamental Structure Theorem in Relative Twisting Hopf Modules and Relative Yetter-Drinfel'd Modules[J].Acta Mathematica Sinica,2007(5). |
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| Authors: | Xiao Li FANG |
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| Institution: | Xiao Li FANG Department of Mathematics,Zhejiang University,Hangzhou 310027,P.R.China Jin Qi LI College of Mathematics and Physics,Zhejiang Normal University,Jinhua 321004,P.R.China |
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| Abstract: | In this paper,first we obtain new modules and eomodules constructions by the twisting method which plays an important role in the costructions of algebras and coalgebras.Then,in a more general case,we give the fundamental structure theorem in relative twisting Hopf modules.Lastly,we consider how to turn the twisting modules into relative Yetter-Drinfel'd modules and relative Hopf modules in HopfYD modules. |
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| Keywords: | (co)paired biaigebras twisting modules relative twisting Hopf modules relative Yetter-Drinfel'd modules |
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