Remember, 'doge' in this sense is historical and not used in current everyday language. The doge was respected in historical Venice.
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Italian History
Understanding Venice and Genoa's history helps grasp the significance of the doge's role. A visit to the Doge's Palace reveals much about the doge's duties.
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Not a Duke
Though 'doge' may sound like 'duke', it refers specifically to Venice and Genoa's leader. Unlike a duke, a doge had certain unique powers.