JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2015, Vol. 50 ›› Issue (12): 76-80.doi: 10.6040/j.issn.1671-9352.0.2014.512

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Diagonal crossed products over monoidal Hom-Hopf algebras

YOU Mi-man, ZHAO Xiao-fan   

  1. Department of Mathematics, Southeast University, Nanjing 210096, Jiangsu, China
  • Received:2014-11-13 Revised:2015-04-16 Online:2015-12-20 Published:2015-12-23

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Abstract: The diagonal crossed products over ordinary Hopf algebras to monoidal Hom-Hopf algebras is generalized. Furthermore, it is proved that the category of Yetter-Drinfeld Hom-modules is isomorphic to the category of left modules over the diagonal crossed products.

Key words: Yetter-Drinfeld Hom-modules, diagonal crossed products, monoidal Hom-Hopf algebras

CLC Number: 

  • O153.5
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[1] GUO Shuang-jian, LI Yi-zheng. Semisimplicity of the categories of Hom-Yetter-Drinfeld modules [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2016, 51(12): 17-23.
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