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Dedekind Domain

3 resources tagged “Dedekind Domain” across the knowledge library.

3 items

Article7 Aug 2026Ideal Representation by Two ElementsRepresenting an ideal by two generators, why two always suffice, and the trade-off against the canonical matrix form.2 min readRead More Article7 Aug 2026Ideals of the Maximal OrderIdeals and fractional ideals, unique factorisation into primes, and the group structure that makes the class group possible.2 min readRead More Guide6 Aug 2026Orders and Ideals in Number FieldsOrders, the maximal order, fractional and integral ideals, unique factorisation of ideals in a Dedekind domain, ideal arithmetic by Hermite normal form, and the two-element representation.4 min readRead More