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- Unique_factorization_domain abstract "In mathematics, a unique factorization domain (UFD) is a commutative ring in which every non-zero non-unit element can be written as a product of prime elements (or irreducible elements), uniquely up to order and units, analogous to the fundamental theorem of arithmetic for the integers. UFDs are sometimes called factorial rings, following the terminology of Bourbaki.Unique factorization domains appear in the following chain of class inclusions: Commutative rings ⊃ integral domains ⊃ integrally closed domains ⊃ unique factorization domains ⊃ principal ideal domains ⊃ Euclidean domains ⊃ fields".
- Unique_factorization_domain wikiPageExternalLink ln.
- Unique_factorization_domain wikiPageID "60546".
- Unique_factorization_domain wikiPageRevisionID "605113653".
- Unique_factorization_domain hasPhotoCollection Unique_factorization_domain.
- Unique_factorization_domain subject Category:Abstract_algebra.
- Unique_factorization_domain subject Category:Number_theory.
- Unique_factorization_domain subject Category:Ring_theory.
- Unique_factorization_domain comment "In mathematics, a unique factorization domain (UFD) is a commutative ring in which every non-zero non-unit element can be written as a product of prime elements (or irreducible elements), uniquely up to order and units, analogous to the fundamental theorem of arithmetic for the integers.".
- Unique_factorization_domain label "Anneau factoriel".
- Unique_factorization_domain label "Dominio a fattorizzazione unica".
- Unique_factorization_domain label "Dominio de factorización única".
- Unique_factorization_domain label "Domínio fatorial".
- Unique_factorization_domain label "Faktorieller Ring".
- Unique_factorization_domain label "Pierścień z jednoznacznością rozkładu".
- Unique_factorization_domain label "Uniek factorisatiedomein".
- Unique_factorization_domain label "Unique factorization domain".
- Unique_factorization_domain label "Факториальное кольцо".
- Unique_factorization_domain label "一意分解環".
- Unique_factorization_domain label "唯一分解整環".
- Unique_factorization_domain sameAs Gaussův_obor_integrity.
- Unique_factorization_domain sameAs Faktorieller_Ring.
- Unique_factorization_domain sameAs Dominio_de_factorización_única.
- Unique_factorization_domain sameAs Anneau_factoriel.
- Unique_factorization_domain sameAs Dominio_a_fattorizzazione_unica.
- Unique_factorization_domain sameAs 一意分解環.
- Unique_factorization_domain sameAs 유일인수분해정역.
- Unique_factorization_domain sameAs Uniek_factorisatiedomein.
- Unique_factorization_domain sameAs Pierścień_z_jednoznacznością_rozkładu.
- Unique_factorization_domain sameAs Domínio_fatorial.
- Unique_factorization_domain sameAs m.0gfwz.
- Unique_factorization_domain sameAs Q1052579.
- Unique_factorization_domain sameAs Q1052579.
- Unique_factorization_domain wasDerivedFrom Unique_factorization_domain?oldid=605113653.
- Unique_factorization_domain isPrimaryTopicOf Unique_factorization_domain.