Heat a large non-stick skillet over high heat and add about half of the oil.
Pour in the beaten eggs and scramble quickly, then push them to the edges of the pan.
Add the remaining oil to the center of the skillet.
Add the garlic, carrot, red bell pepper, and scallions and quick-fry for about 2 minutes.
Add the cold cooked rice to the skillet and mix thoroughly, breaking up any clumps.
Stir the scrambled eggs back into the rice mixture and fry for another 3 minutes.
Add the frozen peas and soy sauce and fry for 1 more minute, stirring to coat everything evenly.
Serve hot.