P-adic Numbers: Completion and Norm

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

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.

Explores homomorphisms in topology and delves into Galois theory.

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