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 5Prime factorizationNarrower topic: It generalizes the uniqueness principle behind prime factorization to other algebraic systems.Fundamental theorem of arithmeticNarrower topic: The theorem is the integer case of this broader algebraic property.Euclid's lemmaNarrower topic: In these rings, irreducibles satisfy a prime-divides-product property that yields unique factorization.Unique factorizationNarrower topic: The integer theorem is the basic example of this broader algebraic property.Fermat's theorem on sums of two squaresNarrower topic: Unique factorization in the Gaussian integers explains why primes congruent to 1 modulo 4 split.