Acta mathematica scientia,Series A ›› 2013, Vol. 33 ›› Issue (4): 673-685.

• Articles • Previous Articles     Next Articles

Weak Group Entwined Bimdules Category and |Generalized Cibils-Rosso Theorem

 GUO Qiao-Ling1, WANG Shuan-Hong2   

  1. 1.College of Mathematics Physics and Information Engineering, Jiaxing University, Zhejiang |Jiaxing 314001;
    2.Department of Mathematics, Southeast University, Nanjing 210096
  • Received:2011-03-12 Revised:2012-10-12 Online:2013-08-25 Published:2013-08-25
  • Supported by:

    嘉兴学院重点项目(70110X03) 资助.

Abstract:

We introduce the category of  weak group entwined bimodules and give some of their properties. Furthermore, we show that a generalized Cibils-Rosso's theorem holds in the setting of weak group entwining structures, that is, the weak group entwined bimodules are modules over a certain group graded algebra. As application, we consider our theories in the setting of (weak) Hopf group coalgebras.

Key words: Weak Hopf group coalgebra, Weak group entwined bimodules, Cibils-Rosso´s theorem

CLC Number: 

  • 16W30
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