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-  2017 

广义Radford双积Hom-Hopf代数和相关辫子张量范畴
GENERALIZED RADFORD BIPRODUCT HOM-HOPF ALGEBRAS AND RELATED BRAIDED TENSOR CATEGORIES

Keywords: Radford双积 量子Yang-Baxter方程 Yetter-Drinfeld范畴
Radford biproduct quantum Yang-Baxter equation Yetter-Drinfeld category

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Abstract:

本文研究了Radford双积的Hom-型.通过把广义smash积Hom-代数和广义smash余积Hom-余代数相结合,得到了他们成为Hom-双代数的充分必要条件,这一结果推广了著名的Radford双积.
In this paper, the Hom-type of Radford biproduct is introduced. By combining generalized smash product Hom-algebra and generalized smash coproduct Hom-coalgebra, we derive necessary and suffcient conditions for them to be a Hom-bialgebra, which includes the well-known Radford biproduct

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