I: Fields 1: Field extensions 2: Ruler and compass constructions 3: Foundations of Galois theory 4: Normality and stability 5: Splitting fields 6: Radical extensions 7: The trace and norm theorems 8: Finite fields 9: Simple extensions 10: Cubic and quartic equations 11: Separability 12: Miscellaneous results on radical extensions 13: Infinite algebraic extensions Pt. TL DR: In this paper, the trace and norm theorems of Galois theory are investigated in the context of primitive rings with minimal ideals and dual vector spaces, and the Wedderburn principal theorem of Hopkins and Levitzki.Ībstract: Preface Pt.
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