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Related lectures (32)
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Cyclotomic Extensions: Norms, Ideals, and Primes
Explores cyclotomic extensions, prime numbers, and ideal norms in number theory.
Properties of Euclidean Domains
Covers the properties of Euclidean domains and irreducible elements in polynomial rings.
Mathematical structures: selected topics
Covers selected mathematical topics including numbers, approximations, algebraic structures, limits, and series.
The Discriminant and Ideal Class Group in Mathematics
Explores the discriminant in matrices, ideal class groups, and optimal embeddings in mathematics.
Ideals and Representations
Covers ideals, representations, modules, and maximal ideals in associative algebras.
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.
Hermite-Minkowski Theorems: Number Fields and Ideal Classes
Explores Hermite-Minkowski theorems in number fields and ideal classes.
Regular Implicit Functions
Discusses regular implicit functions, rings, ideals, sheaves, and ring operations.
Ring Constructions: Structure Theorems
Explores operations on ideals and structure theorems in commutative rings.
Untitled
Number Fields: Embeddings and Ideal Classes
Covers the embeddings of number fields and ideal classes with proofs and examples.
Logarithmic Embedding in Number Fields
Explores the properties and applications of logarithmic embeddings in number fields.
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