Galois Theory: Dedekind Rings

Related lectures (32)

Page 2 of 4

Explores ramification theory, residue fields, Galois extensions, and decomposition groups in algebraic number theory.

Explores irreducible factors, Noetherian rings, ideal stability, and unique factorization in rings.

Explores idempotent elements, central orthogonal elements, commutative rings, and prime ideals in non-central rings.

Covers the concept of localization and ideals in rings, focusing on extended and contracted ideals, integral extensions, and monic equations.

Covers the theory and operations related to polynomials, including ideals, minimal polynomials, irreducibility, and factorization.

Explores factorisation in Principal Ideal Domains and the properties of prime numbers.

Covers factorisation in PIDs, prime ideals, unique tuples, and common prime factors.

Covers the operations in rings, ideals, classes, and quotient rings.

Explores prime ideals and localization in algebraic geometry, highlighting their significance in ring structures.

Covers a general introduction and discusses algebra, emphasizing the importance of unique factorization in algebraic structures.