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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.
- Analytically_normal_ring wikiPageID "39967918".
- Analytically_normal_ring wikiPageRevisionID "578115692".
- Analytically_normal_ring last "Nagata".
- Analytically_normal_ring loc "Appendix A1, example 7".
- Analytically_normal_ring year "1958".
- Analytically_normal_ring year "1962".
- Analytically_normal_ring subject Category:Commutative_algebra.
- 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=578115692.
- Analytically_normal_ring isPrimaryTopicOf Analytically_normal_ring.