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

作　　者：王勇[1] 

机构地区：[1]南京晓庄学院数学与信息技术学院,江苏南京211171

出　　处：《数学杂志》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)

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.

关 键 词：Hopf代数胚 SMASH积 MASCHKE型定理 MORITA关系 

分 类 号：O153.3[理学—数学]