KnowraUnique factorization domainLinked fromLinked fromThe 13 pages that link to Unique factorization domain, each with the reason it gives.All 13Related 3Narrower topic 5Compared with 5Ring of integersCompared with: A ring of integers need not have unique factorization of elements, though its ideals factor uniquely.Ideal class groupCompared with: Element factorization can fail even when ideal factorization remains unique.Dedekind domainCompared with: Unique factorization of elements is stronger than the ideal factorization guaranteed here.Jordan–Hölder theoremCompared with: The analogy is useful, but group factors are series quotients, not products of elements.Algebraic integerCompared with: Rings of integers need not have unique factorization of elements.