Black Judaism
Black Judaism is the collective term used to describe sects of Judaism predominantly practiced by the members of the African communities, both within the African Continent and outside Africa (such as North America). It is theologically characterized by the selective acceptance of the Judaic faith (in some cases such selective acceptance has historical circumstances), and that the belief system of Black Judaism is significantly different from the mainstream sects of Judaism. In addition, although Black Judaic communities adopt Judaic practices such as Jewish holidays and Jewish prayers, they are generally not recognized by the mainstream Jewish societies as legitimately Jewish.
Jews
Without a Temple, Greek-speaking Jews no longer looked to Jerusalem in the way they had before. Judaism separated into a linguistically Greek and a Hebrew / Aramaic sphere. The theology and religious texts of each community were distinctively different. Hellenized Judaism never developed yeshivas to study the Oral Law. Rabbinic Judaism (centered in the Land of Israel and Babylon) almost entirely ignores the Hellenized Diaspora in its writings. Hellenized Judaism eventually disappeared as its practitioners assimilated into Greco-Roman culture, leaving a strong Rabbinic eastern Diaspora with large centers of learning in Babylon.