Dedekind domains and ideal theory

Dedekind domains and their characterizations, unique factorization of fractional ideals into primes, the ideal class group, invertible fractional ideals and the conductor of an order.

• Bhargava p-orderings
• Characterizations of Dedekind domains
• Completions of Dedekind domains at primes
• Conductor ideal
• Fractional ideals prime to an ideal
• Ideal class group
• Invertible fractional ideals
• Prime factorization of fractional ideals
• Ring automorphisms acting on ideals

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