Glossary of field theory

Related lectures (9)

Explores Galois theory, unramified primes, roots of polynomials, and finite residual extensions.

Explores homomorphisms in topology and delves into Galois theory.

Explores decomposition groups, inertia subgroups, Galois theory, unramified primes, and cyclotomic fields in group actions and field extensions.

Introduces algebras over a field, k-linear endomorphisms, and commutative algebras.

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

Covers matrix calculations, basis change, field extensions, complex numbers modulus, and polar decomposition.

Explores purely inseparable decompositions, Galois property, and algebraic closures.

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.

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