The abstract theory of ideals

Noether’s axiomatic ideal theory: global ideal invertibility and its converse, composition series, arbitrary orders and discriminants, three differents, tame normal integral bases, conductors and adjoints.

1. Noether's axioms for Dedekind domains
2. The converse and composition series
3. Orders and the discriminant theorem
4. Three differents
5. Normal integral bases in tame extensions
6. Algebraic functions of one variable: conductors and adjoints

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