Acta mathematica scientia,Series B ›› 2011, Vol. 31 ›› Issue (2): 701-715.doi: 10.1016/S0252-9602(11)60270-1

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ON THE BRAIDED STRUCTURES OF RADFORD'S BIPRODUCT

 MA Tian-Shui*, LI Hai-Ying, ZHAO Wen-Zheng   

  1. College of Mathematics and Information Science, Henan Normal University, Xinxiang 453007, China
  • Received:2008-02-18 Revised:2009-08-24 Online:2011-03-20 Published:2011-03-20
  • Contact: MA Tian-Shui E-mail:matianshui@yahoo.com
  • Supported by:

    Supported by the NNSF of China (10871042), the NSF of Jiangsu Province (BK2009258), NSF of Henan Province (102300410049, 2010A110009), and the Foster Foundation of Henan Normal University (2010PL01)

Abstract:

We obtain the necessary and sufficient conditions for Radford's biproduct to be a braided Hopf algebra. As an application, a nontrivial example is given.

Key words: Yang-Baxter equation,  Radford´s biproduct,  Sweedler Hopf algebra

CLC Number: 

  • 16W30
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