Hom-弱Hopf代数上的Hom-smash积

摘要

In this paper, we study the concept of weak Hopf algebras over Hom-Hopf algebras. Using the method of establishing weak left H-module Hom-algebras, we construct Hom-smash product and demonstrate that Hom-smash product is a Hom-algebra and Hom-weak Hopf algebra, which generalizes weak Hopf algebra introduced by Bohm etc..%本文研究了在Hom-Hopf代数上引入Hom-弱Hop代数的问题.通过建立弱左H-模Hom-代数的方法,构造Hom-smash积,证明Hom-smash积是Hom-代数,且给出使之成为Hom-弱Hopf代数的充分条件,推广了由Bohm等人定义的弱Hop代数.