Jackson hit 6 of 9 from 3-point range for the Golden Lions (9-13, 8-2 Southwestern Athletic Conference), who have won five of their past six and eight of 10 since snapping a nine-game losing streak.
Hammond's free throw with 31 seconds left put Arkansas-Pine Bluff up 78-74. Joshua Freelove hit a 3 for Alabama State with 25 seconds left, but Hammond hit a free throw and then a layup as the Hornets' last two possessions ended in a turnover and a missed 3-pointer.
Freelove led Alabama State (6-17, 4-6) with 29 points on 11-of-17 shooting, making 6 of 9 3-point attempts. Phillip Crawford added 21 points and nine rebounds.
Seton Hall sophomore Isaiah Whitehead will stay in the NBA draft and not return for his junior season.
Washington State's trio of Josh Hawkinson, Conor Clifford and Ike Iroegbu have withdrawn from the NBA draft and will play their senior season with the Cougars.
Gonzaga center Przemek Karnowski, who missed most of last season with a back injury, says he is returning for another year.