president vs presidentship

president and presidentship both are nouns.

Word	Noun	Adjective	Verb	Adverb
president	Yes	No	No	No
presidentship	Yes	No	No	No

president (noun)	presidentship (noun)
the chief executive of a republic	the office and function of president
an executive officer of a firm or corporation
the head administrative officer of a college or university
the officer who presides at the meetings of an organization