The attackers disguised in army uniforms ambushed the Popular Mobilization Forces near the northern city of Kirkuk, the group said in a statement on Monday.
A spokesman for the criminal court in Baghdad gave no details about the Turkish citizen, but said ten other women of various nationalities were also sentenced to life in prison.
Turkish Foreign Minister Mevlut Cavusoglu calls the US decision to back the YPG, a "big mistake" at the Munich Security Conference.
Dozens of Kosovars died in Syria after joining Daesh. In response, three years ago, the government passed a law prohibiting people from recruiting and fighting for paramilitary groups or individuals, outside Kosovo.
A report carried by New York Times over the weekend said Israeli forces had carried out more than 100 airstrikes in Egypt targeting Daesh militants over the course of more than two years with Cairo's approval.
The prime surviving suspect in the 2015 Daesh attacks on Paris says he will answer no questions as his trial in Belgium over a shooting that preceded his arrest got under way.
Attack on an outpost near military academy in Afghanistan's capital has killed at least 11 soldiers and wounded 16 others, a defence ministry official said. Daesh claimed responsibility for the assault.
The FSA fighters in Operation Olive Branch are mainly the same factions that took part in the Turkey-backed mission launched in 2016 to drive Daesh from the border and prevent further expansion of the YPG.
Turkish Foreign Minister Mevlut Cavusoglu will meet his Iraqi counterpart Ibrahim al Jaafari and is also expected to meet Prime Minister Haider al Abadi on Sunday.
The US State Department urges Turkey not to take any action in northern Syria. But Turkey dispatched its military chief to Moscow, to negotiate for an air campaign in Afrin.
Online videos and images posted by activists on social media have served as one of the few ways for the public to see protests in Iran where all radio and television stations are state-run.
The Britain-based Syrian Observatory for Human Rights says the strikes on the village of Susa in Deir Ezzor province were likely conducted by the US-led coalition.
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