The Emirate of Cordoba was an independent Muslim principality which existed from 756 until Abd Ar-Rahman III proclaimed Cordoba to be a Caliphate in 929. I therefore submit the following suggestions:
Moors as a vassal of Arabia: Province of Andalusia
Independent Moors under dynasticism: Emirate of Cordoba
Indepent Moors under Theocracy: Caliphate of Cordoba
Moors as a vassal of Arabia: Province of Andalusia
Independent Moors under dynasticism: Emirate of Cordoba
Indepent Moors under Theocracy: Caliphate of Cordoba