In the Google AdWords API, I believe Keyword IDs and AdGroup IDs (and obviously Campaign IDs) are unique within an account (as opposed to the Keyword ID only being unique within
concerning campaign id, adgroup id, ad id and keyword id (criterion id) the clear and exact answer is to be found in the adwords api docs: https://developers.google.com/adwords/api/docs/guides/working-with-objects
It says that only campaign id and adgroup id are globally unique. Because there is no word said about accounts i think global is meant to be as 'per account'. I don't think there is something unique across different accounts.