independent vs commutative

independent is a noun but commutative is not a noun.

Word	Noun	Adjective	Verb	Adverb
independent	Yes	Yes	No	No
commutative	No	Yes	No	No

independent (noun)	commutative (noun)
a writer or artist who sells services to different employers without a long-term contract with any of them
a neutral or uncommitted person (especially in politics)

independent (adjective)	commutative (adjective)
free from external control and constraint	(of a binary operation) independent of order; as in e.g. "a x b = b x a"
(of a clause) capable of standing syntactically alone as a complete sentence
(of political bodies) not controlled by outside forces
not controlled by a party or interest group