Skip to content

Tag

Residue Degree

3 resources tagged “Residue Degree” across the knowledge library.

3 items

Article7 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 More Article7 Aug 2026Prime Decomposition: Theory and RamificationHow rational primes factor in the maximal order, ramification indices and residue degrees, and the degree relation that constrains them.2 min readRead More Guide6 Aug 2026Decomposition of Prime Numbers in Number FieldsRamification indices and residue degrees, the fundamental identity, Dedekind's theorem relating prime decomposition to polynomial factorisation modulo p, and computing valuations.5 min readRead More