After the death of Alexander, his empire was, after quite some conflict, divided among his generals, resulting in the Ptolemaic Kingdom (Egypt and adjoining North Africa), the Seleucid Empire (the Levant, Mesopotamia, and Persia), and the Antigonid dynasty (Macedonia). In the intervening period, the poleis of Greece were able to wrest back some of their freedom, although still nominally subject to Macedon.
Following the conquest of Bactria by Alexander the Great in 323 BC, for about two centuries Greek was the administrative language of his Hellenistic successors, that is, the Seleucid and the Greco-Bactrian kingdoms.
Alexander, who quickly conquered the Persian Empire under its last Achaemenid dynast, Darius III, died young in 323 BC, leaving an expansive empire of partly Hellenised culture without an adult heir. The empire was put under the authority of a regent in the person of Perdiccas, and the territories were divided among Alexander's generals, who thereby became satraps, at the Partition of Babylon, all in that same year.