Crack the eggs into a bowl and whisk them well.
Finely chop the green onion, carrot, and onion.
Add the chopped vegetables and salt to the egg mixture and mix well.
Pour the egg mixture into a pot or earthenware bowl.
Cover with a lid and cook over low heat without stirring.
When the eggs are softly set, place cheese and shrimp on top.
Cook for another minute until the cheese melts, then serve.