Dedekind Rings: Factorisation and Ideal Class Group

Related lectures (32)

Page 3 of 4

Covers the concept of prime ideals and local rings, emphasizing their importance.

Explores congruence relations in rings, principal ideals, ring homomorphisms, and the characteristic of rings.

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

Covers primary decomposition in Noetherian ideals and unique primary ideals.

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

Covers affine algebraic sets, hypersurfaces, elliptic curves, ideals, and Noetherian rings in algebraic geometry.

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

Covers the properties of Euclidean domains and irreducible elements in polynomial rings.

Covers the completion of a field, focusing on algebraic closure and function convergence.

Covers primary decomposition in commutative rings and its application in prime ideals.