Emirate
Etymologically an emirate or amirate ( Arabic: إمارة Imarah, plural: إمارات Imarat) is the quality, dignity, office or territorial competence of any Emir (see that article for various meanings).
Monarchies
Generally speaking, as in this article, an emirate designates a political territory that is ruled by a dynastic Islamic Monarch styled emir (see that article). As most emirates have either disappeared, been integrated in a larger modern state or changed their rulers style, e.g. to Malik (Arabic for King) or Sultan, such true emirate-states have become rare.
An example of this use persists in the United Arab Emirates, a federal nation that comprises seven federal emirates, each administered by a hereditary emir, these seven forming the electoral college for the federation's President and PM.
Provinces
Furthermore, in Arabic the term can be generalized to mean any province of a country that is administered by a member of the ruling class, especially of a member (usually styled Sheikh) of the royal family, as in Saudi Arabian governorates.
List of former and integrated traditional emirates