Acta mathematica scientia,Series A ›› 2013, Vol. 33 ›› Issue (6): 1068-1088.

• Articles • Previous Articles     Next Articles

The Braided Structures Over Hom-ω-smash Coproduct Hopf Algebras

 ZHENG Nai-Feng   

  1. College of Science, Ningbo University, Zhejiang Ningbo |315211
  • Received:2012-06-04 Revised:2013-05-09 Online:2013-12-25 Published:2013-12-25
  • Supported by:

    国家自然科学基金(60873267)和宁波市自然科学基金(2011A610172)资助

Abstract:

Let (Cα) and (Hβ) be Hom-bialgebras and ω: C\otimes HH\otimes C a linear map. We introduce the concept of a  Hom-ω-smash coproduct (\bowtie Hγ) along with necessary and sufficient conditions for the new object  to be a Hom-bialgebra. We study the braided structures over (Cω\bowtie Hγ) and we demonstrate the necessary and sufficient conditions for (Cω\bowtie H, γ, R) to be a braided Hom-Hopf algebra.

Key words: Hom-Hopf algebra, Braided Hom-Hopf algebra, Hom-ω-smash coproduct

CLC Number: 

  • 16W30
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