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Lecture
Ideal Class Group Relations
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Related lectures (31)
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Local Rings and Residues
Covers the proof of theorem 4.2 on multiplicities and the special structure of local rings at a simple point of a plane.
Principal Ideal Domains: Structure and Homomorphisms
Covers the concepts of ideals, principal ideal domains, and ring homomorphisms.
The Discriminant and Ideal Class Group in Mathematics
Explores the discriminant in matrices, ideal class groups, and optimal embeddings in mathematics.
Dedekind Rings: Factorisation and Ideal Class Group
Explores Dedekind rings, factorisation, ideal class group, heredity, separable extensions, and matrix properties.
Dedekind Rings: Theory and Applications
Explores Dedekind rings, integral closure, factorization of ideals, and Gauss' Lemma.
Chinese Remainder Theorem: Rings and Fields
Covers the Chinese remainder theorem for commutative rings and integers, polynomial rings, and Euclidean domains.
Dedekind Rings and Fractional Ideals
Explores Dedekind rings, fractional ideals, integrally closed properties, prime ideal factorization, and the structure of fractional ideals as a commutative group.
Ring Operations: Ideals and Classes
Covers the operations in rings, ideals, classes, and quotient rings.
Irreducible Factors and Noetherian Rings
Explores irreducible factors, Noetherian rings, ideal stability, and unique factorization in rings.
Ideals and Representations
Covers ideals, representations, modules, and maximal ideals in associative algebras.
