论文标题
HOPF代数在其基地和相应的部分Smash产品代数上的部分作用
Partial Actions of a Hopf algebra on its base field and the corresponding partial smash product algebra
论文作者
论文摘要
我们介绍了$λ$ -HOPF代数的概念，作为Hopf代数的部分粉碎产品代数获得的Hopf代数，并表明每个Hopf代数都是$λ$ -HOPF代数。 此外，开发了一种计算给定HOPF代数的部分作用的方法，作为一种应用，我们针对Hopf代数的某些家庭展示了这种类型的所有部分动作。
We introduce the concept of a $λ$-Hopf algebra as a Hopf algebra obtained as the partial smash product algebra of a Hopf algebra and its base field, and show that every Hopf algebra is a $λ$-Hopf algebra. Moreover, a method to compute partial actions of a given Hopf algebra on its base field is developed and, as an application, we exhibit all partial actions of such type for some families of Hopf algebras.
