Degrees of sums in a separable field extension
Degrees of sums in a separable field extension
Let F be any field and suppose that E is a separable algebraic extension of F. For elements aGE, we let dga denote the degree of the minimal polynomial of a over F. Let a, O E, dga=m, dgo3=n and suppose (m, n) = 1. It is easy to see …