Tag
index
6 resources tagged “index” across the knowledge library.
6 items
Article7 Aug 2026Discriminants and Integral BasesThe discriminant of a basis, the field discriminant, and the index-squared relation that governs maximal order computation.2 min readRead MoreArticle7 Aug 2026Essential Discriminant DivisorsPrimes that divide the index for every choice of defining polynomial, why they exist, and what they force computationally.2 min readRead MoreArticle7 Aug 2026Ideal Norm ComputationThe norm of an ideal as its index in the order, its multiplicativity, and its use as a size measure and consistency check.2 min readRead MoreArticle7 Aug 2026Orders in Number FieldsOrders as subrings that are full-rank lattices, the equation order, the maximal order, and the index that separates them.2 min readRead MoreArticle7 Aug 2026Prime Decomposition when p Does Not Divide the IndexDecomposing a prime that does not divide the index, by factoring the defining polynomial modulo that prime.2 min readRead MoreArticle7 Aug 2026The Dedekind Criterion for p-MaximalityA cheap modular test deciding whether an order is maximal at a given prime, without computing the maximal order.2 min readRead More