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拟三角Hopf代数上的辫子Doi-Hopf模的广义积分和Maschke型定理(英文)
引用本文:田长安,王栓宏.拟三角Hopf代数上的辫子Doi-Hopf模的广义积分和Maschke型定理(英文)[J].河南师范大学学报(自然科学版),2002(2).
作者姓名:田长安  王栓宏
作者单位:河南师范大学数学与信息科学学院,河南师范大学数学与信息科学学院 河南新乡,453002,河南新乡,453002
基金项目:ThisworkispartlysupportedbyNationalScienceFoundationofChina (No.196 0 10 15 )andtheNationalSci enceFoundationofHenanprovince(No.9940 5 190 0 )
摘    要:1997年Caenepeel,Militaru和Zhu1]证明了Doi Hopf模的Maschke型定理 ,在这篇文章中 ,我们引进了辫子Doi Hopf模 ,证明了类似的Maschke型定理

关 键 词:广义积分  辫子Doi-Hopf模  Hopf代数

A Generalized Integrals and Maschke Type Theorem for Braided Doi-Hopf Modules over Quasitriangular Hopf Algebras
TIAN Chang an,WANG Shuan hong.A Generalized Integrals and Maschke Type Theorem for Braided Doi-Hopf Modules over Quasitriangular Hopf Algebras[J].Journal of Henan Normal University(Natural Science),2002(2).
Authors:TIAN Chang an  WANG Shuan hong
Abstract:In 1997 Caenepeel, Militaru and Zhu showed that there exist a Maschke type theorem for Doi-Hopf Modules. An analog result for braided Hopf modules was not known. In this paper, we introduce conception of braided Doi-Hopf module as the generalization of braided Hopf modules. They are Doi-Hopf modules over arbitrary Quasitriangular Hopf Algebras. We provide a Maschke type theorem for such braided Doi-Hopf modules.
Keywords:generaligod integrals  Braided Doi  Hopf module Hopf Algebra
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