Partial actions of Sweedler Hopf algebra on generalized quaternion algebra.

In the paper, we discuss the partial actions of Sweedler Hopf algebra on the generalized quaternion algebra, and give the sufficient and necessary conditions to make the actions be the partial actions. As an application, we give a complete description of all partial actions of Sweedler Hopf algebra on the generalized quaternion algebra. [ABSTRACT FROM AUTHOR]