disagreement vs disagree

disagreement is a noun but disagree is not a noun.

Word	Noun	Adjective	Verb	Adverb
disagreement	Yes	No	No	No
disagree	No	No	Yes	No

disagreement (noun)	disagree (noun)
a difference between conflicting facts or claims or opinions
the speech act of disagreeing or arguing or disputing
a conflict of people's opinions or actions or characters

disagreement (verb)	disagree (verb)
	be of different opinions
	be different from one another