ORE EXTENSIONS OF HOPF GROUP COALGEBRAS

Title & Authors
ORE EXTENSIONS OF HOPF GROUP COALGEBRAS
Wang, Dingguo; Lu, Daowei;

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.
Keywords
Hopf algebras;Hopf $\small{{\pi}}$-coalgebras;Ore extension;
Language
English
Cited by
1.
Ore extensions of quasitriangular Hopf group coalgebras, Journal of Algebra and Its Applications, 2014, 13, 06, 1450016
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