Petter Andersson scored in the sevneth minute and Hammarby made it stick to move level on points with second-placed Elfsborg with 28, although Hammarby have played a game more at 15.
Meanwhile, in the tight battle in mid-table, Halmstad came from behind to win 2-1 at Trelleborg but GAIS hung on to eighth place after grabbing a point from their 1-1 draw at Sundsvall.
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