Arsene Wenger's men had gone into the game on the back of a League Cup defeat to Chelsea, but they bounced back to open up a healthy advantage over the chasing pack in the league following their London rivals' 2-0 loss at Newcastle United earlier in the day.
Arsenal made no mistake in underlining their title credentials at the Emirates, as they produced a dominant performance to secure victory.
Santi Cazorla opened the scoring as he pounced on a rebound after heading Bacary Sagna's right-wing cross against the post following a fine counter-attack from the hosts.
Wenger's men looked to press home their superiority following the goal, Cazorla's long-range drive forcing another strong stop from Mignolet, who was called into action again to prevent Ramsey from doubling their advantage soon afterwards.
Cazorla was at the centre of the majority of Arsenal’s attacks, and the Spain international wasted another opportunity to increase the lead when he dragged a poor shot wide of the right-hand post just before half-time.
Rodgers' men did not learn from that let off, though, and they were duly punished a few minutes later, Ramsey shooting past a helpless Mignolet with a sublime volley.
Liverpool threatened an unlikely comeback in the closing stages, Suarez twice spurning glaring opportunities and Wojciech Szczesny denying substitute Philippe Coutinho, but Arsenal saw out a deserved victory.
