DETROIT — The Cleveland Indians clinched the AL Central title Monday night, overcoming an injury to ace Corey Kluber in a 7-4 victory over the Detroit Tigers.

Kluber left after four innings with right groin tightness, joining Carlos Carrasco and Danny Salazar in a group of talented Cleveland pitchers dealing with injuries. But even those concerns were secondary when the Indians poured onto the field to celebrate their first division title since 2007.

“It’s hard, man. It is so hard to explain how hard winning is,” manager Terry Francona said. “We’ve had some challenges thrown our way, but so has everyone else. We managed to get this far, and now we get to play more baseball.”

Cleveland last made the postseason in 2013 as a wild card.

Coco Crisp and Roberto Perez homered for the Indians, and Jason Kipnis doubled in a run.

Buck Farmer (0-1) allowed four runs in five innings for the Tigers, who fell two games behind Baltimore for the second AL wild card.

Andrew Miller (10-1) won in relief, and Cody Allen pitched the ninth for his 30th save in 33 chances.