KnowraDedekind domainLinked fromLinked fromThe 11 pages that link to Dedekind domain, each with the reason it gives.All 11Broader topic 2Related 6Narrower topic 2Compared with 1Prime idealRelated: Its nonzero prime ideals are maximal and factor ideals uniquely into prime ideals.Ring of integersRelated: Every ring of integers is a Dedekind domain, enabling unique factorization of ideals.IdealRelated: Its ideal factorization extends integer prime factorization to broader number systems.Ernst KummerRelated: Dedekind later recast Kummer’s ideal numbers as ideals with rigorous ring-theoretic foundations.Dirichlet's unit theoremRelated: Rings of integers are Dedekind domains, placing their unit groups in a rich ideal theory.Hilbert class fieldRelated: The ring of integers is a Dedekind domain, enabling ideal-theoretic class field constructions.