Carter vs President Carter

Carter and President Carter both are nouns.

Word	Noun	Adjective	Verb	Adverb
Carter	Yes	No	No	No
President Carter	Yes	No	No	No

As nouns, Carter and President Carter are synonyms defined as:

Carter and President Carter: 39th President of the United States (1924-)

Other synonyms of Carter include James Earl Carter, James Earl Carter Jr., Jimmy Carter.

Carter (noun)	President Carter (noun)
39th President of the United States (1924-)	39th President of the United States (1924-)
Englishman and Egyptologist who in 1922 discovered and excavated the tomb of Tutankhamen (1873-1939)