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- Schreier_domain abstract "In abstract algebra, a Schreier domain, named after Otto Schreier, is an integrally closed domain where every nonzero element is primal; i.e., whenever x divides yz, x can be written as x = x1 x2 so that x1 divides y and x2 divides z. An integral domain is said to be pre-Schreier if every nonzero element is primal. A GCD domain is an example of a Schreier domain. The term "Schreier domain" was introduced by P. M. Cohn in 1960s. The term "pre-Schreier domain" is due to Muhammad Zafrullah.In general, an irreducible element is primal if and only if it is a prime element. Consequently, in a Schreier domain, every irreducible is prime. In particular, an atomic Schreier domain is a unique factorization domain; this generalizes the fact that an atomic GCD domain is a UFD.".
- Schreier_domain wikiPageExternalLink bezout_rings_and_their_subrings.pdf.
- Schreier_domain wikiPageExternalLink on_a_property_of_pre_schreier_domains.pdf.
- Schreier_domain wikiPageID "22284043".
- Schreier_domain wikiPageLength "1271".
- Schreier_domain wikiPageOutDegree "10".
- Schreier_domain wikiPageRevisionID "495227179".
- Schreier_domain wikiPageWikiLink Abstract_algebra.
- Schreier_domain wikiPageWikiLink Atomic_domain.
- Schreier_domain wikiPageWikiLink Category:Ring_theory.
- Schreier_domain wikiPageWikiLink GCD_domain.
- Schreier_domain wikiPageWikiLink Integrally_closed_domain.
- Schreier_domain wikiPageWikiLink Irreducible_element.
- Schreier_domain wikiPageWikiLink Otto_Schreier.
- Schreier_domain wikiPageWikiLink P._M._Cohn.
- Schreier_domain wikiPageWikiLink Paul_Cohn.
- Schreier_domain wikiPageWikiLink Prime_element.
- Schreier_domain wikiPageWikiLink Unique_factorization_domain.
- Schreier_domain wikiPageWikiLinkText "Schreier domain".
- Schreier_domain wikiPageWikiLinkText "pre-Schreier domain".
- Schreier_domain hasPhotoCollection Schreier_domain.
- Schreier_domain wikiPageUsesTemplate Template:Abstract-algebra-stub.
- Schreier_domain subject Category:Ring_theory.
- Schreier_domain hypernym Primal.
- Schreier_domain comment "In abstract algebra, a Schreier domain, named after Otto Schreier, is an integrally closed domain where every nonzero element is primal; i.e., whenever x divides yz, x can be written as x = x1 x2 so that x1 divides y and x2 divides z. An integral domain is said to be pre-Schreier if every nonzero element is primal. A GCD domain is an example of a Schreier domain. The term "Schreier domain" was introduced by P. M. Cohn in 1960s.".
- Schreier_domain label "Schreier domain".
- Schreier_domain sameAs シュライアー整域.
- Schreier_domain sameAs m.05q6lsk.
- Schreier_domain sameAs Q7432871.
- Schreier_domain sameAs Q7432871.
- Schreier_domain wasDerivedFrom Schreier_domain?oldid=495227179.
- Schreier_domain isPrimaryTopicOf Schreier_domain.