The Racers (10-0) took control early then had to weather a late Memphis rally to hold on for the victory. Murray State was up 71-60 with just under 2 minutes left before Memphis (5-3) scored eight straight points to make it a one-possession game.
The Tigers trailed 73-72 with 14 seconds left. But Isaiah Canaan, who had 15 points, connected on two free throws with 7.9 seconds left and the Racers remained one of only nine teams in Division I still undefeated.
Ed Daniel finished with 13 points and nine rebounds for Murray State and Ivan Aska had 12 points.
NO. 16 ALABAMA 62, DETROIT 54
In Tuscaloosa, Ala., JaMychal Green scored 21 points and Alabma rebounded from a two-game losing streak to beat Detroit
Tony Mitchell added 15 points and freshman Nick Jacobs chipped in 13 in his first start for the Crimson Tide (8-2), who returned to a more characteristic defensive form after losses to Georgetown and at Dayton.
Detroit (5-7) trailed by 22 points late in the first half and failed to approach its 75.9-point scoring average. The Titans shot 32 percent (17 of 53) and missed all 12 3-point attempts.
Green made 7 of 9 shots from the field and 7 of 8 from the free throw line for the Tide.
Alabama had allowed a season-high 74 points and 61 percent shooting at Dayton, but played much stouter defense from the start in this one.
NO. 24 ILLINOIS 80, COPPIN STATE 63
In Champaign, Ill., D.J. Richardson scored 20 points to lead four players in double figures and No. 24 Illinois beat Coppin State 80-63 on Sunday night.
Illinois (10-0) hung on to remain one of nine undefeated teams in the nation despite the Eagles’ hot shooting and pesky 2-3 zone defense.
Tony Gallo scored 21 points for Coppin State (3-5), which made 10 3-pointers.