Dedekind Rings: Theory and Applications

Related lectures (32)

Page 3 of 4

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

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

Covers the proof of theorem 4.2 on multiplicities and the special structure of local rings at a simple point of a plane.

Covers primary decomposition in Noetherian ideals and unique primary ideals.

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

Introduces the definition and examples of A-modules, including sub-modules and ideals.

Covers simple modules, endomorphisms, and Schur's lemma in module theory.

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

Explores the Chinese Remainder Theorem for Euclidean domains and the properties of commutative rings and fields.

Explores operations on ideals and structure theorems in commutative rings.