Although Ariq Böke lost power, some of his descendants later became important figures in the Ilkhanate and the Northern Yuan dynasty, and the lineage of both Ilkhan Arpa Ke'un and Yesüder can be traced back to Ariq Böke.
A pesar de que Ariq Böke perdeu poder, algúns do seu descendentes máis tarde converteronse en figuras importantes no ilkanato e na dinastía Yuan do norte, pois a liñaxe tanto do Ilkhan Arpa Ke'un como de Yesüder pode remontarse até Ariq Böke.