Nouns

(n)dispute, difference, difference of opinion, conflicta disagreement or argument about something important“he had a dispute with his wife”, “there were irreconcilable differences”, “the familiar conflict between Republicans and Democrats”
(n)dispute, contraventioncoming into conflict with

Verbs

(v)challenge, dispute, gainsaytake exception to“She challenged his claims”
(v)quarrel, dispute, scrap, argufy, altercatehave a disagreement over something“We quarreled over the question as to who discovered America”, “These two fellows are always scrapping over something”