Devonte Boykins' 3-pointer with six seconds left reduced North Carolina A&T's deficit to 88-85 before Rogers' dunk at the buzzer ended the game.
Ian Kinard made 1 of 2 free throws and South Carolina State led 87-77 with 22 seconds left.
Raymon Pratt made it a seven-point contest with a 3-point play with 12 seconds remaining before Kinard fouled him to send Pratt back to the foul line and he made both. Rogers made 1 of 2 free throws for an 88-82 lead before Boykins' 3.
South Carolina State (9-17, 5-6 Mid-Eastern Athletic Conference) got 13 points from Janai Rayner-Powell and 11 from James Richardson. South Carolina State led by double figures most of the second half.
Davaris McGowens led North Carolina A&T (15-10, 8-2) with 26 points and Boykins scored 13.
Five-star point guard Josiah James, ranked No. 20 in the ESPN 100, has committed to Tennessee over Clemson, Duke and Michigan State.
Jim Calhoun, who has a career record of 873-380 and led UConn to three national titles before retiring in 2012, has been hired as coach at Saint Joseph.
Pac-12 commissioner Larry Scott believes a tentative ruling making show-cause orders illegal in California would threaten NCAA membership for state schools.
|North Carolina A&T||11-5||1||20-15|
|North Carolina Central||9-7||3||19-16|
|South Carolina St||6-10||6||10-22|