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The family had relationships with political entities both in and out of Europe. During the attempts by the Mongol ilkhanate ruler Abaqa to form a Franco-Mongol alliance, his strategy included a strengthening of ties with the Genoese. Many male children of the Doria family were named after foreign rulers, such as Abaga (Abaqa Khan), Casano (Ghazan Khan), and Aitone, named after Hayton, or Hethum I, king of Cilician Armenia.