Cyclotomic Extensions: Norms, Ideals, and Primes

Related lectures (31)

Page 2 of 4

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

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

Discusses regular implicit functions, rings, ideals, sheaves, and ring operations.

Explores elementary algebra concepts related to numeric sets and prime numbers, including unique factorization and properties.

Covers ideals, representations, modules, and maximal ideals in associative algebras.

Covers the concept of primary and secondary ideals, focusing on uniqueness and invariance properties.

Explores ideals with finite sets of points and Hilberts Nullstellensatz in algebraic fields.

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

Explores the concept of fractions of rings and their uniqueness in ideals and quotients.

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