Concept
Ideal norm
Related lectures (21)
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.
Ideal Class Group Relations
Covers the relations between the ideal class group and proper fractional ideals.
Embeddings of Number Fields
Explores embeddings of number fields, types, signatures, lattices, and determinants.
Integral Representations: Quadratic Lattices and Hasse Principle
Explores integral representations, quadratic lattices, and the Hasse Principle.
Frobenius Theorems in Number Theory
Explores Frobenius theorems in number theory, ideal class groups, norm properties, and geometry of numbers.
Dedekind Rings: Factorisation and Ideal Class Group
Explores Dedekind rings, factorisation, ideal class group, heredity, separable extensions, and matrix properties.
The Discriminant and Ideal Class Group in Mathematics
Explores the discriminant in matrices, ideal class groups, and optimal embeddings in mathematics.
Hermite-Minkowski Theorems: Number Fields and Ideal Classes
Explores Hermite-Minkowski theorems in number fields and ideal classes.
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.