Mauretania (Yarmuk)

The Berber kingdom of Mauretania was an amalgamation of the Mauretanians and Numidians of antiquity, which ruled the area roughly corresponding to modern Algeria and Tunisia until 1060, when the Almoravids from the Sahel took control of the entire Maghreb (excluding the Port of Carthage).

Successes against Byzantium
This paragraph has a misleading title, since territorial gains by the Mauretanians against Byzantium were fairly thin on the ground. The Berbers did not have sufficient soldiers to mount massive campaigns and, though the Byzantine governor of Africa didn't either, the only particularly significant aquisitions were those of Algiers (645AD) and Constantine (745AD - the city was renamed after its original Berber title, Cirta.) Other than this, the Berber rulers were fairly impotent; as they had no fleet, sea trade was impossible. Under Berber rule, the Maghreb continued on a steady stagnation.