What name is given to the stylized hooked staff carried by a bishop?

It also symbolizes the role that a bishop plays as pastor of the faithful within his/her diocese, bringing those who have figuratively strayed back into the flock, in keeping with the symbol of Jesus as "The Good Shepherd."

A mitre is the hat that bishops wear.

I think of the Ten Commandments where the staff Moses had turned into a snake. I never knew there was another name for it