一类余拟三角Hom-Hopf代数

设C和H是Hom-Hopf代数,ω:CH→HC是一个线性映射.首先介绍了Hom-ω-smash余积Hom-Hopf代数(Cω■H,αβ)的相关概念;然后研究Hom-Hopf代数(Cω■H,αβ)上的余拟三角结构,得到了其构成余拟三角Hom-Hopf代数的充要条件.

A Class of Coquasitriangular Hom-Hopf Algebras

In this paper,let Cand Hbe two Hom-Hopf algebras,andω:CH →HCa linear map.We first introduce some basic definitions about Hom-ω-smash coproduct Hom-Hopf algebra(Cω■H,αβ);then we discuss the coquasitriangular structures for Hom-ω-smash coproduct Hopf algebras,and obtain the necessary and sufficient conditions for it to be coquasitriangular Hom-Hopf algebras.