jaj•a•person's notes

Matthew Baker

Algebraic number theory course notes

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A Dedekind domain is a CDR
Bases for a number field
Cyclotomic field
Discriminant of a number field
Discriminant of a separable extension
Ideal class group
Irreducible element
Kronecker's root of unity lemma
Krull dimension of an integral domain
Measure theoretic pigeonhole principle
Minkowski embedding
Minkowski's bound
Minkowski's convex body theorem
Monogenic field
Noetherian ring
Number field
Prime element
Prime ideals are invertible in a Dedekind domain
Prime order of an ideal
Proper sublattice
Quadratic integers
Relatively prime ideals
Splitting of prime ideals in a number field
Subgroup of a free abelian group
The ring of integers of a number field forms a lattice

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