noun (n)

• the tenure of a president(noun.time)

  Synonym:
  administration, presidential term
  

  source: wordnet30
• the office and function of president(noun.act)

  Example:
  Andrew Jackson expanded the power of the presidency beyond what was customary before his time.
  

  Synonym:
  presidentship
  

  source: wordnet30
• The function or condition of one who presides; superintendence; control and care.(noun)

  source: webster1913