Ryan Kent scored the only goal midway through the first half when he beat Joe Lewis with a cool finish after being sent clear by Alfredo Morelos. Aberdeen had defender Andy Considine sent off for a bad tackle on substitute Scott Arfield with five minutes left.
Dundee United marked their Premiership return with a 1-1 draw against St Johnstone at Tannadice. Nicky Clark gave United an early lead from the penalty spot but Saints equalised through Liam Craig despite having Michael O'Halloran sent off.
Hibernian beat Kilmarnock 2-1 at Easter Road thanks to a Martin Boyle double. Chris Burke pulled one back just before half-time but Killie couldn't find an equaliser.
A first-half goal from defender Richard Tait on his debut proved decisive as St Mirren edged out Livingston 1-0 in Paisley.
Celtic play Hamilton Accies on Sunday and Ross County face Motherwell on Monday.