J4 ›› 2013, Vol. 48 ›› Issue (2): 20-22.

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The fundamental theorem for weak Hopf module in  Yetter-Drinfeld module categories

DONG Li-hong1,2, GUO Shuang-jian1   

  1. 1. Department of Mathematics, Southeast University, Nanjing 210096, Jiangsu, China;
    2. College of Mathematics and Information Science, Henan Normal University, Xinxiang 453007, Henan, China
  • Received:2012-06-05 Online:2013-02-20 Published:2013-03-04

Abstract:

The definitions of weak Hopf algebra and weak Hopf module in Yetter-Drinfeld module categories are introduced. And the fundamental theorem for weak Hopf modules in Yetter-Drinfeld module categories is obtained.

Key words: Yetter-Drinfeld module category; weak Hopf algebra; weak Hopf module

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