* βασιλεία (basileia): This literally means "kingdom" or "reign," but it could be used to refer to a large, powerful kingdom that functions as an empire. It emphasizes the rule of a king.
* ἀρχή (archē): This means "rule," "authority," or "beginning." In context, it could refer to the rule of an empire, emphasizing its power and dominion.
* ἡγεμονία (hegemonia): This signifies "leadership," "dominion," or "hegemony." It suggests a more indirect or influential form of control than a direct, territorial empire.
* αυτοκρατορία (autokratoria): This translates most closely to "autocracy" or "absolute rule." It emphasizes the centralized and unlimited power of the emperor.
Therefore, the best translation depends on the context. If you're looking for a general term, βασιλεία (basileia) or ἀρχή (archē) might be suitable. If you want to highlight the absolute power of the ruler, αυτοκρατορία (autokratoria) is more fitting. If it's about influence rather than direct control, ἡγεμονία (hegemonia) is a better choice.