argue vs dispute

argue is not a noun while dispute is a noun.

Word	Noun	Adjective	Verb	Adverb
argue	No	No	Yes	No
dispute	Yes	No	Yes	No

As verbs, dispute is a hyponym of argue; that is, dispute is a word with a more specific, narrower meaning than argue:

argue (noun)	dispute (noun)
	coming into conflict with
	a disagreement or argument about something important

argue (verb)	dispute (verb)
have an argument about something	take exception to
give evidence of	have a disagreement over something
present reasons and arguments