| 几类交叉余积的关系 |
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| 引用本文： | 方小利,李金其.几类交叉余积的关系[J].数学物理学报(A辑),2011,31(1):117-131. |
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| 作者姓名： | 方小利 李金其 |
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| 作者单位： | 1.绍兴文理学院数理信息学院 浙江绍兴 312000|2.东南大学数学系 南京 210096; 3.浙江师范大学数理信息学院 浙江金华 321004 |
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| 基金项目： | 国家自然科学基金(10971188)、江苏博士后基金(0902081C)和浙江省教育厅基金(Y200907995)资助 |
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| 摘 要： | 该文引进了广义对角交叉余积, 广义 L-R smash 余积, 广义双边交叉余积和双边smash余积并研究它们的关系. 特别地, 给出了两种不同方法来解释广义对角交叉余积与广义L-R smash 余积之间的关系. 作为应用, 运用比较简单的证明给出关于iterated广义smash余积的一个重要的结论.
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| 关 键 词： | 广义对角交叉余积 广义L-R smash 余积 双边交叉余积 L-R扭曲余组 |
| 收稿时间： | 2008-10-08 |
| 修稿时间： | 2009-08-06 |
Relations with All Kinds of Crossed Coproducts |
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| Fang Xiaoli,Li Jinqi.Relations with All Kinds of Crossed Coproducts[J].Acta Mathematica Scientia,2011,31(1):117-131. |
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| Authors: | Fang Xiaoli Li Jinqi |
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| Institution: | 1.Department of Mathematics, Shaoxing College of Arts and Sciences, Zhejiang Shaoxing 312000|2.Department of Mathematics, Southeast University, Nanjing 210096|3.College of Mathematics and Physics, Zhejiang Normal University, Zhejiang Jinhua 321004 |
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| Abstract: | The so-called generalized diagonal crossed coproduct, generalized L-R smash coproduct, generalized two-sided crossed coproduct and two-sided smash coproduct are introduced and their relations are investigated. In particular, the authors give two different interpretations about relations between generalized diagonal crossed coproducts and generalized L-R smash coproducts. As an application, an easy conceptual proof of an important but very technical result concerning iterated generalized smash coproducts is obtained. |
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| Keywords: | Generalized diagonal crossed coproductszz Generalized L-R smash coproductszz Two-sided crossed coproductszz L-R twisting codatumzz |
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