Field extension

Related lectures (30)

Page 3 of 3

Explores right extensions in infinity category theory and their equivalent definitions.

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

Explores algebraic extensions, constructions, irreducible polynomials, autonomous constructions, and cutting compositions.

Explores the extension and properties of multiple integrals for continuous functions on rectangles.

Covers the concept of special open sets and epsilonization, discussing unique extensions of derivations and specific value settings.

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

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

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

Covers the recap of Galois theory and emphasizes the transitivity of Galois groups.

Covers functions extension and Taylor expansion, exploring mathematical concepts in depth.