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.
Maryland point guard Melo Trimble, considered a lock to leave the program before struggling in the second half last season, has withdrawn from the NBA draft and will return for his junior season.
Louisville's Chinanu Onuaku, who recently underwent a medical procedure to correct a heart rhythm issue detected during the combine, will keep his name in the NBA draft pool.
Andrew White III will return to the Nebraska men's basketball team next season after removing his name from the NBA draft.