Noun presidency has 2 senses
  1. presidency, presidential term, administration - the tenure of a president; "things were quiet during the Eisenhower administration"
    --1 is a kind of tenure, term of office, incumbency
  2. presidency, presidentship - the office and function of president; "Andrew Jackson expanded the power of the presidency beyond what was customary before his time"
    --2 is a kind of position, post, berth, office, spot, billet, place, situation
    --2 has particulars: President of the United States, President, Chief Executive