| 关于路余代数及其Hochschild上同调 |
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| 引用本文： | 郭占清,姚海楼.关于路余代数及其Hochschild上同调[J].洛阳大学学报,2007,22(2):9-14. |
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| 作者姓名： | 郭占清 姚海楼 |
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| 作者单位： | 1. 铁道部,信息技术中心,北京,100084
2. 北京工业大学,应用数理学院,北京,100022 |
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| 基金项目： | 国家自然科学基金资助项目(项目编号:1037103)，北京市自然科学基金资助项目(项目编号:1042001) |
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| 摘 要： | 根据路余代数的性质,利用Hochschild上同调的定义与计算方法,借鉴代数中的Hochschild上同调的研究方法,研究了路余代数的余根、路余代数及路余代数的商余代数的Hochschild上同调.
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| 关 键 词： | 路余代数 Hochschild上同调 余根 商余代数 |
| 文章编号： | 1007-113X（2007）02-0009-06 |
| 修稿时间： | 2006-02-26 |
On Path Coalgebras and Their Hochschild Cohomology |
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| GUO Zhan-qing,YAO Hai-lou.On Path Coalgebras and Their Hochschild Cohomology[J].Journal of Luoyang University,2007,22(2):9-14. |
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| Authors: | GUO Zhan-qing YAO Hai-lou |
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| Institution: | 1. Information Center, Ministry of Railway, Beijing 100084, China; 2. College of Applied Sciences, Beijing University of Technology, Beijing 100022, China |
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| Abstract: | According to the properties of path coalgebras,using the definition and methods of calculating Hochschild cohomology given by Doi Y,as well as the researching methods of Hochschild cohomology in algebras,we study the coradicals of path coalgebras,the Hochschild cohomology of path coalgebras and quotient coalgebras of path coalgebras. |
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| Keywords: | path coalgebras Hochschild cohomology coradicals quotient coalgebras |
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