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Subfields and Invariants of Inseparable Field Extensions

Subfields and Invariants of Inseparable Field Extensions

Let L/K be a field extension of characteristic p ≠ 0. The existence of intermediate fields over which L is regular, separable, or modular is important in recent Galois theories. For instance, see [1; 2; 3; 4; 7; 8; 9 and 14].