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J. Korean Math. Soc. 2014; 51(2): 325-344
Printed March 1, 2014
https://doi.org/10.4134/JKMS.2014.51.2.325
Copyright © The Korean Mathematical Society.
Ore extensions of Hopf group coalgebras
Dingguo Wang and Daowei Lu
Qufu Normal University, Qufu Normal University
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.
Keywords: Hopf algebras, Hopf $\pi$-coalgebras, Ore extension
MSC numbers: 16W30, 16S36
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