dispute

(noun) a disagreement or argument about something important. Synonyms: difference, difference of opinion, conflict. Examples: "He had a dispute with his wife." "There were irreconcilable differences." "The familiar conflict between republicans and democrats."

(noun) coming into conflict with. Synonyms: contravention.

(verb) take exception to. Synonyms: challenge, gainsay. Example: "She challenged his claims."

(verb) have a disagreement over something. Synonyms: quarrel, scrap, argufy, altercate. Examples: "We quarreled over the question as to who discovered america." "These two fellows are always scrapping over something."