Hopf代数胚上的Smash积的Maschke型定理和Morita关系（英文）

A MASCHKE-TYPE THEOREM FOR SMASH PRODUCTS AND A MORITA CONTEXT OVER HOPF ALGEBROIDS

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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. 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.

作者王勇

机构地区南京晓庄学院数学与信息技术学院

出处《数学杂志》 CSCD 北大核心 2015年第5期1127-1138,共12页 Journal of Mathematics

基金 Supported by the General Project of Nanjing Xiaozhuang University(2011NXY16) Natural Science Foundation for Colleges and Universities in Jiangsu Province(13KJD110008)

关键词 Hopf代数胚 SMASH积 MASCHKE型定理 MORITA关系 Hopf algebroid Smash product Maschke-type theorem Morita context

分类号 O153.3 [理学—基础数学]

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参考文献1

1ZHANG Liangyun College of Science, Nanjing Agricultural University, Nanjing 210095, China,Department of Mathematics, Nanjing University, Nanjing 210008, China.Maschke-type theorem and Morita context over weak Hopf algebras[J].Science China Mathematics,2006,49(5):587-598. 被引量：6

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共引文献5

1周小燕,张良云.Maschke-Type Theorem for Two-Sided Weak Smash Products[J].Journal of Mathematical Research and Exposition,2008,28(4):855-863.
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3ZHOU Xiao-yan LI Qiang ZHANG Liang-yun Department of Mathematics, Nanjing Agricultural University, Nanjing 210095, China.Duality theorem for weak L-R smash products[J].Applied Mathematics(A Journal of Chinese Universities),2010,25(4):481-488. 被引量：2
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Hopf代数胚上的Smash积的Maschke型定理和Morita关系（英文）

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二级参考文献14

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