A republic is a form of government in which the country is considered a “public matter”, not the private concern or property of the rulers. The primary positions of power within a republic are not inherited, but are attained through democracy, oligarchy or autocracy. It is a form of government under which the head of state is not a hereditary monarch.
Communism is the philosophical, social, political, and economic ideology and movement whose ultimate goal is the establishment of the communist society, which is a socioeconomic order structured upon the common ownership of the means of production and the absence of social classes, money, and the state.