Correct term for a priority queue with unique elements

Question

Is there a standard term for a priority queue which can only hold a single occurrence of any element? This would be a priority queue for which operations such as "raise the priority of element x to the new value p" would make sense.

In this kind of an abstract container, if you insert some element ("key", but not in the sense of "priority key") with some priority, you cannot insert it again until it is extracted, but you can update its priority.

I would also like to know if there is some established interface for this kind of a priority queues.