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Maximal Order

3 resources tagged “Maximal Order” across the knowledge library.

3 items

Guide6 Aug 2026Computing the Maximal Order: the Round 2 AlgorithmThe Pohst-Zassenhaus theorem, the Dedekind criterion, the radical and the ring of multipliers, and the Round 2 algorithm for computing the ring of integers.5 min readRead More Guide6 Aug 2026Discriminants and Integral BasesThe field discriminant, integral bases, the index of an equation order, and why computing the maximal order reduces to factoring the polynomial discriminant.5 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