Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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ORE EXTENSIONS OF HOPF GROUP COALGEBRAS

  • Wang, Dingguo (School of Mathematical Sciences Qufu Normal University) ;
  • Lu, Daowei (School of Mathematical Sciences Qufu Normal University)
  • Received : 2013.06.05
  • Published : 2014.03.01
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Abstract

The aim of this paper is to generalize the theory of Hopf-Ore extension on Hopf algebras to Hopf group coalgebras. First the concept of Hopf-Ore extension of Hopf group coalgebra is introduced. Then we will give the necessary and sufficient condition for the Ore extensions to become a Hopf group coalgebra, and certain isomorphism between Ore extensions of Hopf group coalgebras are discussed.

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References

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Cited by

  1. Ore extensions of quasitriangular Hopf group coalgebras vol.13, pp.06, 2014, https://doi.org/10.1142/S0219498814500169