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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. |
| 关键词: Hopf代数胚 Smash积 Maschke型定理 Morita关系 |
| DOI： |
| 分类号:O153.3 |
| 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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| A MASCHKE-TYPE THEOREM FOR SMASH PRODUCTS AND A MORITA CONTEXT OVER HOPF ALGEBROIDS |
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WANG Yong
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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. |
| Key words: Hopf algebroid Smash product Maschke-type theorem Morita context |
