Go to settings, then notification center, click on messages and set what options you want it to, if you don't want any notifications then just click "none" and you should be set.

Did you mean how to turn off auto-correct?

If you are talking about the notification then yes you can turn it off. The only thing is you cannot turn it off from the app. You can however change it from the Phones internet browser (safari). Or you can do it through your computer. [url=http://www.bungie.net/en/User/Edit]Click here.[/url] Go to [b][u]Notification Settings[/u][/b] -The column on the right affects the web/mobile app. Turn off the all the setting that you do not want.