Original: As a political domain or domains, it successively constituted a province of the Umayyad Caliphate, initiated by the Caliph Al-Walid I (711-750); the Emirate of Córdoba (c. 750-929); the Caliphate of Córdoba (929-1031); and the Caliphate of Córdoba's taifa (successor) kingdoms.
Simplified: As a political domain or domains, it was successively a province of the Umayyad Caliphate, the Caliphate of Córdoba (929-1031), and finally the Caliphate of Córdoba's taifa (successor) kingdoms.