Finite Degree Extensions

Related lectures (32)

Page 2 of 4

Explores solvability by radicals in Galois theory and the Galois/Abel criterion for solvability.

Explores ramification theory, residual fields, and discriminant ideals in algebraic number theory.

Explores Dedekind rings, factorisation, ideal class group, heredity, separable extensions, and matrix properties.

Covers the uniqueness of norm extension in finite fields and the construction of norms on finite extensions of Qp.

Explores the Galois theory of Qp, covering algebraic extensions, inertia groups, and cyclic properties.

Covers homomorphisms, algebraic extensions, cutting, splitting, and separable elements in Fok [x].

Explores the dimension theory of rings, focusing on chains of ideals and prime ideals.

Explores separable extensions and Dedekind rings, focusing on coefficients and prime ideals.

Explores Galois theory with a focus on Dedekind rings and their unique factorization of fractional ideals.

Explores Dedekind rings, integral closure, factorization of ideals, and Gauss' Lemma.