In a large skillet or wok put oil, ground beef, onion and bell pepper. Cook at medium heat until meat is no longer pink. Add garlic and cook 1 more minute.
Pour in can of diced tomatoes, and all seasonings. Stir.
Cover top with chopped cabbage, leave a bit of room so lid can fit on top of pot.
Pour 1/4 c of beef broth on top of cabbage. Put lid on and cook over medium heat for 15-20 minutes until cabbage is as tender as you'd like it to be.
Sprinkle cheese on top and heat just long enough for it to melt, then serve.
Alternatively you can set oven to 400 degrees, layer top with cheese and bake (in an oven safe cast iron pan or baking dish) until it is melted and golden brown.