dogate
/ˈdəʊɡeɪt/ /dəʊ(d)ʒeɪt/noun
The rule, rank, or position of a doge; the period of office of a doge.
Origin
Late 17th century. From French dogat or its etymon Italian dogato (1527; compare Italian regional (Venice) dogado) from doge + -ato. Compare earlier dogeship, and slightly later dogedom.