In the FAA world the authorization to command a turbojet powered aircraft or an aircraft weighing more than 12,500 pounds is called a type rating, sometimes shortened to TR. These are added to the FAA certificate at the completion of the type rating checkride.
rudestuff, the only way I know to transfer a foreign type to a FAA cert is to complete the 61.75 process, pass the regular IR written and checkride and have "US TEST PASSED" added to the 61.75. Then when you get a regular FAA commercial or ATP and IF you can show the training for the foreign type rating was conducted by an "authorized instructor" which is FAA speak for a FAA CFI and IF the training and records fills all the squares of 61.157 (b) you can have the type ratings moved to the regular FAA certificate. Or they could be on a Transport Canada license.