I'm speaking of alerts that don't require the users direct attention, more of a "oh, by the way, this actions just happened". Not much unlike gmail's "you action has been undone" or "Your message has sent".
I would hate to have to click "OK" every single time that that I send an email in gmail, but it's good to know that the action completed without error.
Is there a standard name for these types of alerts and are there rules as to when I should use them?