JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2017, Vol. 52 ›› Issue (8): 107-110.doi: 10.6040/j.issn.1671-9352.0.2016.582

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The fundamental theorem forAMHH in Yetter-Drinfeld module categories

CHEN Hua-xi1, XU Qing-bing2   

  1. 1. Department of Mathematics and Physics, Bengbu College, Bengbu 233000, Anhui, China;
    2. Department of Basic course, Chuzhou Vocational and Technical Colege, Chuzhou 239000, Anhui, China
  • Received:2016-12-15 Online:2017-08-20 Published:2017-08-03

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

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

CLC Number: 

  • O153.3
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[1] DONG Li-hong1,2, GUO Shuang-jian1. The fundamental theorem for weak Hopf module in  Yetter-Drinfeld module categories [J]. J4, 2013, 48(2): 20-22.
[2] CHEN Hua-xi1, ZHANG Xiao-hui2, XU Qing-bing3. The Structure Theorem of weak comodule algebras in
Yetter-Drinfeld module categories [J]. J4, 2013, 48(12): 14-17.
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