Heat oil in a large skillet over medium-high heat. Stir in onions; cook until soft and translucent. Stir in carrots, cabbage, and garlic; cook until garlic begins to brown. Stir in kielbasa; cook until heated through, about 3 minutes
Crumble rice with hands to break up clumps. Then stir rice into skillet. Heat through, then stir in soy sauce. Beat 1 egg, and mix thoroughly into rice. One at a time, beat and stir the remaining 2 eggs into the rice. Cover, reduce the heat to medium low, and cook 10 minutes, stirring often.
