hello? Is this a bug or my mistake?
1) Try to stop the event bubling using Event.stop(event) in your links.
2) add disableDefaultMenu ="false" to context menu
Great thanks Ilya, this helped!
Another small question is about "hideDelay="0"" parameter in context menu. Even if I set it to "0", the menu is visible for a while after the menu loses focus, it can discourage the customer. I would prefer to hide context menu as soon as the mouse goes off the menu borders. Is it possible?
Sorry, everything is ok with "hideDelay = 0", it seems it was deeply cached by firefox. Everything is ok, though it would be great, if richFaces team implemented right click functionality for context menu. I voted for it in Jira.