BAGHDAD — U.S.
"I know that the Turks want to participate, we tell them thank you, this is something the Iraqis will handle and the Iraqis will liberate Mosul and the rest of the territories," Haider al-Abadi said through a translator after meeting with the Pentagon chief in Baghdad.
Iraqi, Kurdish and other local forces will handle the battle for Mosul, al-Abadi said.
"We don't have any problems," he said, adding that if help is needed, "we will ask for it from Turkey or from other regional countries."
He acknowledged that both sides have made recommendations and that they will meet again, suggesting that the door may still be open to some compromise.
Carter, who arrived in Iraq on Saturday to meet with his commanders and assess the progress in the opening days of the Mosul operation, told reporters that the issue of a Turkish role in the military campaign is a difficult subject.
The U.S. role "is to work with our partners in the coalition and the Iraqi government to try to resolve issues like this and make sure that we're all focused" on fighting IS. "I am confident that we can play a constructive role there."
One day earlier, Carter met with Turkish leaders in Ankara and said "an agreement in principle" for a Turkish role. Carter stressed at the time that any final decision would be up to the Iraqis, while expressing optimism the Turks and Iraqis could settle their differences.
His visit to Iraq came two days after a U.S. service member was killed outside Mosul, underscoring the risk that American troops are taking as they advise Iraqi forces in the fight.
Carter, who already has been to Iraq twice this year, has overseen the steady increase in the number of U.S. forces deployed to the fight and the growth of America's effort to train and advise Iraqi troops. In his two earlier visits, Carter announced White House decisions to increase the U.S. troop level there. There was no such announcement Saturday, but Carter made it clear that the U.S. stands ready to do more, if the Iraqis or his commanders identify a particular need.
Some 500 Turkish troops at a base north of Mosul have been training Sunni and Kurdish fighters since last December. The Iraqi government says the troops are there without permission and has called on them to withdraw. Turkey has refused, and insists it will play a role in liberating the city.
The U.S. service member killed this week was the fourth U.S. combat death in Iraq since the U.S. began military operations against IS in August 2014. It was the first since the Mosul operation began.
The U.S. military said a fire at a sulfur plant in northern Iraq set by IS on Thursday was creating a potential breathing hazard for American forces and other troops at a base south of Mosul that's being used by troops as a staging area.
They said some troops at the base were wearing protective masks, and that air samples were sent to the U.S.
"I'm encouraged by what I see so far, it is proceeding according to our plan," Carter told reporters at the end of his day in Baghdad.
Lt. Gen. Steve Townsend, the top U.S. commander in Iraq, said enemy resistance has stiffened and has proved "significant." But, he said, "the Iraqis expected this and they're fighting through it."
He said IS forces have used roadside bombs, multiple car bombs, snipers and "even anti-tank guided missiles" against the Iraqi troops.
Asked how long U.S. troops would remain in Iraq once Mosul is retaken, Carter said the U.S. would continue any necessary counterterrorism operations to protect the United States, and that troops could keep training and advising Iraqi forces, if requested by the Baghdad government.
The U.S. estimates there are between 3,000 and 5,000 IS fighters in the Mosul area, but some leaders probably have fled. A key factor will be how long those midlevel commanders stay or whether they decide to leave.
More than 4,800 U.S. troops are in Iraq and there are more than 100 U.S. special operations forces operating with Iraqi units. Hundreds more U.S. forces are playing a support role in staging bases farther from the front lines
Associated Press National Security Writer Robert Burns in Washington contributed to this report.