| Hopf代数胚上的Smash积的Maschke型定理和Morita关系 |
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| 引用本文： | 王勇. Hopf代数胚上的Smash积的Maschke型定理和Morita关系[J]. 数学杂志, 2015, 35(5): 1127-1138 |
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| 作者姓名： | 王勇 |
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| 作者单位： | 南京晓庄学院数学与信息技术学院, 江苏 南京 211171 |
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| 基金项目： | Supported by the General Project of Nanjing Xiaozhuang University (2011NXY16);Natural Science Foundation for Colleges and Universities in Jiangsu Province (13KJD110008) |
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| 摘 要： | 本文研究了Hopf代数胚上的Smash积代数.利用Hopf代数胚的积分理论,获得了Hopf代数胚上的Smash的Maschke型定理并构造了一个Morita关系,推广了Cohen和Fishman在文献[1]中的相应结果.作为应用,获得了Hopf代数胚上的余模代数的Maschke型定理.
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| 关 键 词： | Hopf代数胚 Smash积 Maschke型定理 Morita关系 |
| 收稿时间： | 2013-08-30 |
| 修稿时间： | 2014-03-26 |
A MASCHKE-TYPE THEOREM FOR SMASH PRODUCTS AND A MORITA CONTEXT OVER HOPF ALGEBROIDS |
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| WANG Yong. A MASCHKE-TYPE THEOREM FOR SMASH PRODUCTS AND A MORITA CONTEXT OVER HOPF ALGEBROIDS[J]. Journal of Mathematics, 2015, 35(5): 1127-1138 |
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| Authors: | WANG Yong |
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| Affiliation: | College of Mathematics and Information Technology, Nanjing Xiaozhuang University, Nanjing 211171, China |
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| Abstract: | In this paper, we consider the smash product algebras over Hopf algebroids. By integral theory for Hopf algebroids, we obtain a Maschke-type theorem for smash products and construct a Morita context over Hopf algebroids, which generalizes the corresponding result given by Cohen and Fishman in [1]. As an application, we obtain the Maschke-type Theorem for comodule algebras over Hopf algebroids. |
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| Keywords: | Hopf algebroid Smash product Maschke-type theorem Morita context |
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