Corellia Commendation

Corellia Commendations are currency items that can be earned by completing missions on the planet Corellia. They can also be found as random world drops from mobs on the planet, and can be used to purchase specialty items from a commendation vendor.

Source
Corellia Commendations are mission rewards that can be obtained from missions throughout the planet Corellia. They can also be obtained a random world drops mobs defeated on the planet.
 * Mission reward