Invariance in inseparable Galois theory
James K. Devensey, John Nelson Mordeson · Rocky Mountain Journal of Mathematics · 1979
Let L be a normal, modular extension of a field K of characteristic p ^ 0, and let K(L pr )/K be separable for some nonnegative integer r.This paper is concerned with the intermediate theory for the Galois theory of inseparable extensions developed by N. Heerema.A new characterization of the distinguished sub fields for the purely inseparable case in terms of linear disjointness properties is used to incorporate the purely inseparable intermediate theory as a special case of the inseparable theory developed here.