KnowraPrime idealLinked fromLinked fromThe 20 pages that link to Prime ideal, each with the reason it gives.All 20Broader topic 5Related 11Narrower topic 1Compared with 3Algebraic number theoryBroader topic: Prime ideals provide the factors in the unique factorization of ideals.Commutative algebraBroader topic: Prime ideals organize both the spectrum of a ring and its local structure.IdealBroader topic: Prime ideals identify irreducible algebraic and arithmetic behavior.Dedekind zeta functionBroader topic: Prime ideals supply the local factors in the function's Euler product.Boolean prime ideal theoremBroader topic: This is the specific kind of ideal guaranteed to exist.