Hermite-Minkowski Theorems: Number Fields and Ideal Classes

Related lectures (30)

Page 3 of 3

Covers the concept of sheaves, emphasizing the unique determination of functions by local data and the importance of direct limits.

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

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

Covers the Chinese remainder theorem for commutative rings and integers, polynomial rings, and Euclidean domains.

Focuses on abelian p-groups, demonstrating technical results for classifying finite abelian groups.

Explores the properties and structure of Sylow subgroups in group theory, emphasizing a theorem-independent approach.

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

Explores the Hom functor in Abelian groups, focusing on its construction and properties.

Explores exact sequences of abelian group homomorphisms and provides examples.

Explores chirality, group completeness, Abelian groups, conjugate classes, and isomorphic groups in symmetry and group theory.