The Ilkhan Empire is one of the four regional khanates (subdivisions of the Mongol Empire) after the death of Chinggis Khan. The empire is located south of the Golden Horde and it eventually conquered much of the Abbasid Empire.
The Ilkhan Empire is the khanate (subdivision) of the south they claimed the task pf completing the conquest of the Muslim world that had begun with the invasion of the Khwarazm domains. Although the Islamic heartlands were never ultimately subdued.