I followed xgman's suggestion and, so far, so good. To do this mikeccc123, go to: apps/settings/more and click on the "application manager". Once launched, scroll down to Google Play Music and select it. Directly underneath the "force stop" button will be a check-box labeled "show notifications" and, deselect it (i.e. no check mark there).
I attempted to fully "disable" the app but kept getting a message reading "do you want to replace this app with the factory version" and, not having any idea what that meant, I settled for just turning off notifications.