This territory , under the Arab name Al-Andalus , became first an Emirate and then an independent Umayyad Caliphate , the Caliphate of Córdoba , after the overthrowing of the dynasty in Damascus by the Abbasids .
This territory , under the Arab name `` Al-Andalus '' , became first an Emirate and then an independent Umayyad Caliphate after the overthrowing of the dynasty in Damascus by the Abbasids .