广义Radford双积Hom-Hopf代数和相关辫子张量范畴

摘要

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.