Found following Turkish translation(s) for the English word/phrase "presidency".
1 (n) English: presidency, presidentship: the office and function of president. 'Andrew Jackson expanded the power of the presidency beyond what was customary before his time'
Turkish: başkanlık, cumhurbaşkanlığı:
2 (n) English: presidency, presidential term, administration: the tenure of a president. 'things were quiet during the Eisenhower administration'
Turkish: yönetim, başkanlık, idare: