The Community mobile app supports three types of push notifications:
All of your push notifications are stored for future reference. To access them, tap the bell icon at the top right of the Feed.
TIP: New notifications are indicated by a red dot on the bell icon.
On the Notifications page, your notifications are listed in the order they were received, from newest to oldest.
TIP: Tap Mark All Read to quickly clear your new notifications.
While you can turn push notifications ON/OFF anytime, you cannot control which push notifications you receive and which you don't. In other words, it's an "all or nothing" proposition.
Also, there's no way to turn push notifications ON/OFF natively within the app; rather, it's done directly via your device's notification settings. While the exact steps are device-dependent, generally speaking, you'll need to: