Under the ten criteria for an empire, a region must have a uniform code of law to qualify as an empire. This is not the case here. Although Alexander the Great did have an empire, he did not have a uniform code of law. In Alexander's empire, all of the different regions he conquered had their own code of law. For example, Egypt, Greece and Babylonia, three places Alexander conquered, all had different codes of law. Alexander travelled around conquering countries. As he conquered new countries, he did not implement his own code of law, but left them the way they were.
Although Alexander did not establish a uniform code of law after he died and his empire split apart, most of the succesor kingdoms like the Seleukid and the Ptolemaic kingdoms established a uniform code of law.
