J4 ›› 2013, Vol. 48 ›› Issue (12): 14-17.

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The Structure Theorem of weak comodule algebras in
Yetter-Drinfeld module categories

CHEN Hua-xi1, ZHANG Xiao-hui2, XU Qing-bing3   

  1. 1. Department of Mathematics and Physics, Bengbu College, Bengbu 233000, Anhui, China;
    2. Department of Mathematics, Southeast University, Nanjing 210096, Jiangsu, China;
    3. The Vocational and Technical College of Chuzhou, Chuzhou 239000, Anhui, China
  • Received:2012-11-15 Online:2013-12-20 Published:2014-01-09

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Abstract:

The definitions of weak Hopf algebra and weak comodule algebras in Yetter-Drinfeld module categories are introduced, and the structure theorem of weak comodule algebras in Yetter-Drinfeld module categories is obtained.

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

CLC Number: 

  • O153.3
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