How do I turn off push notifications without turning off notifications in iOS 6? I want to turn off push notifications for a single app (Skype, in this case) because I accidentally said "Yes" when it prompted me to receive push notifications.

I do not want to turn off notifications.  When I have Skype open, I want to receive notifications.  When Skype is closed, I do not want to receive notifications.  My understanding is that push notifications are the type that come when the app is closed.

How can I do this?

Update - clarification

I want to receive notifications from Skype, but only when Skype is running.
Go to Settings > Notifications. Scroll down until you find Skype and tap on it. Then you'll be able to set the notification settings for that app without turning notifications off entirely.