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The Freedom of Yetter-Drinfeld Hopf Algebras

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In this paper, the fundamental theorem of Yetter-Drinfeld Hopf module is proved. As applications, the freedom of tensor and twisted tensor of two Yetter-Drinfeld Hopf algebras is given. Let A be a Yetter-Drinfeld Hopf algebra. It is proved that the category of A-bimodule is equivalent to the category of   -twisted module.
Cite this paper
Wang, Y. (2014) The Freedom of Yetter-Drinfeld Hopf Algebras. Advances in Pure Mathematics, 4, 522-528. doi: 10.4236/apm.2014.49060. 
 

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