FYI, LinkedIn has somewhat fine-grained email/notification configuration so you can stop these at the source.

Have a look at Me (menu) > Settings & Privacy > Communications (tab) > Email frequency (controls not only overall frequency but frequency per message type, i.e. group message notifications, invitations, job notifications, connection update notifications, etc.).

Also, you can entirely disable classes of notifications you no longer want to receive/see (even when you're viewing the site) by going to the Notifications tab, then clicking the context menu ("...") on a given notification and selecting "Turn off" (stop receiving this type of notification) or "Unfollow" (stop receiving updates from the given source).