Thank you for answering me. I realize that the Corporations are not tribes therefore not considered sovereign but I had thought that the fact that Alaska was a Public Law 280 State would have made a difference in their ruling in the Supreme Court case but it was not mentioned. So, I am wondering about the ability of tribal members being able to sue their tribe in State courts versus federal court or if that is even possible. In the recent case it was two tribes trying to sue each other. I guess my question might be off topic but sometimes the lines between Native Corporations seem to get blurred with tribes and their sovereignty in Alaska. Confusing! 
I did research on some law suits by a tribe in the past where the Supreme Court ruled they were subject to State law and not sovereign because of PL. 280.