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- Analytically_normal_ring abstract "In algebra, an analytically normal ring is a local ring whose completion is a normal ring, in other words a domain that is integrally closed in its quotient field.Zariski (1950) proved that if a local ring of an algebraic variety is normal, then it is analytically normal, which is in some sense a variation of Zariski's main theorem. Nagata (1958, 1962, Appendix A1, example 7) gave an example of a normal Noetherian local ring that is analytically reducible and therefore not analytically normal.".
- Analytically_normal_ring wikiPageExternalLink 1250776950.
- Analytically_normal_ring wikiPageExternalLink item?id=AIF_1950__2__161_0.
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- Analytically_normal_ring wikiPageLength "2023".
- Analytically_normal_ring wikiPageOutDegree "13".
- Analytically_normal_ring wikiPageRevisionID "649209246".
- Analytically_normal_ring wikiPageWikiLink Algebra.
- Analytically_normal_ring wikiPageWikiLink Algebraic_variety.
- Analytically_normal_ring wikiPageWikiLink Analytically_irreducible_ring.
- Analytically_normal_ring wikiPageWikiLink Analytically_reducible.
- Analytically_normal_ring wikiPageWikiLink Category:Commutative_algebra.
- Analytically_normal_ring wikiPageWikiLink Completion_(algebra).
- Analytically_normal_ring wikiPageWikiLink Completion_(ring_theory).
- Analytically_normal_ring wikiPageWikiLink Field_of_fractions.
- Analytically_normal_ring wikiPageWikiLink Integral_closure.
- Analytically_normal_ring wikiPageWikiLink Integral_domain.
- Analytically_normal_ring wikiPageWikiLink Integral_element.
- Analytically_normal_ring wikiPageWikiLink Integrally_closed_domain.
- Analytically_normal_ring wikiPageWikiLink Local_ring.
- Analytically_normal_ring wikiPageWikiLink Noetherian_ring.
- Analytically_normal_ring wikiPageWikiLink Normal_ring.
- Analytically_normal_ring wikiPageWikiLink Quotient_field.
- Analytically_normal_ring wikiPageWikiLink Springer-Verlag.
- Analytically_normal_ring wikiPageWikiLink Springer_Science+Business_Media.
- Analytically_normal_ring wikiPageWikiLink Zariskis_main_theorem.
- Analytically_normal_ring wikiPageWikiLinkText "analytically normal ring".
- Analytically_normal_ring hasPhotoCollection Analytically_normal_ring.
- Analytically_normal_ring last "Nagata".
- Analytically_normal_ring loc "Appendix A1, example 7".
- Analytically_normal_ring wikiPageUsesTemplate Template:Abstract-algebra-stub.
- Analytically_normal_ring wikiPageUsesTemplate Template:Citation.
- Analytically_normal_ring wikiPageUsesTemplate Template:Harvs.
- Analytically_normal_ring wikiPageUsesTemplate Template:Harvtxt.
- Analytically_normal_ring year "1958".
- Analytically_normal_ring year "1962".
- Analytically_normal_ring subject Category:Commutative_algebra.
- Analytically_normal_ring hypernym Ring.
- Analytically_normal_ring type AnatomicalStructure.
- Analytically_normal_ring comment "In algebra, an analytically normal ring is a local ring whose completion is a normal ring, in other words a domain that is integrally closed in its quotient field.Zariski (1950) proved that if a local ring of an algebraic variety is normal, then it is analytically normal, which is in some sense a variation of Zariski's main theorem. Nagata (1958, 1962, Appendix A1, example 7) gave an example of a normal Noetherian local ring that is analytically reducible and therefore not analytically normal.".
- Analytically_normal_ring label "Analytically normal ring".
- Analytically_normal_ring sameAs m.0wbn72y.
- Analytically_normal_ring sameAs Q13902359.
- Analytically_normal_ring sameAs Q13902359.
- Analytically_normal_ring wasDerivedFrom Analytically_normal_ring?oldid=649209246.
- Analytically_normal_ring isPrimaryTopicOf Analytically_normal_ring.