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- Analytically_irreducible_ring abstract "In algebra, an analytically irreducible ring is a local ring whose completion has no zero divisors. Geometrically this corresponds to a variety with only one analytic branch at a point. Zariski (1948) proved that if a local ring of an algebraic variety is a normal ring, then it is analytically irreducible. There are many examples of reduced and irreducible local rings that are analytically reducible, such as the local ring of a node of an irreducible curve, but it is hard to find examples that are also normal. Nagata (1958, 1962, Appendix A1, example 7) gave such an example of a normal Noetherian local ring that is analytically reducible.".
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- Analytically_irreducible_ring wikiPageRevisionID "681659686".
- Analytically_irreducible_ring wikiPageWikiLink Category:Commutative_algebra.
- Analytically_irreducible_ring wikiPageWikiLink Completion_(algebra).
- Analytically_irreducible_ring wikiPageWikiLink Completion_(ring_theory).
- Analytically_irreducible_ring wikiPageWikiLink Integrally_closed_domain.
- Analytically_irreducible_ring wikiPageWikiLink Local_ring.
- Analytically_irreducible_ring wikiPageWikiLink Noetherian_ring.
- Analytically_irreducible_ring wikiPageWikiLink Normal_ring.
- Analytically_irreducible_ring wikiPageWikiLink Springer-Verlag.
- Analytically_irreducible_ring wikiPageWikiLink Springer_Science+Business_Media.
- Analytically_irreducible_ring wikiPageWikiLinkText "Analytically irreducible ring".
- Analytically_irreducible_ring wikiPageWikiLinkText "analytically irreducible ring".
- Analytically_irreducible_ring hasPhotoCollection Analytically_irreducible_ring.
- Analytically_irreducible_ring last "Nagata".
- Analytically_irreducible_ring loc "Appendix A1, example 7".
- Analytically_irreducible_ring wikiPageUsesTemplate Template:Brackets.
- Analytically_irreducible_ring wikiPageUsesTemplate Template:Citation.
- Analytically_irreducible_ring wikiPageUsesTemplate Template:Harvs.
- Analytically_irreducible_ring wikiPageUsesTemplate Template:Harvtxt.
- Analytically_irreducible_ring year "1958".
- Analytically_irreducible_ring year "1962".
- Analytically_irreducible_ring subject Category:Commutative_algebra.
- Analytically_irreducible_ring hypernym Ring.
- Analytically_irreducible_ring type AnatomicalStructure.
- Analytically_irreducible_ring comment "In algebra, an analytically irreducible ring is a local ring whose completion has no zero divisors. Geometrically this corresponds to a variety with only one analytic branch at a point. Zariski (1948) proved that if a local ring of an algebraic variety is a normal ring, then it is analytically irreducible.".
- Analytically_irreducible_ring label "Analytically irreducible ring".
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- Analytically_irreducible_ring sameAs Q17097730.
- Analytically_irreducible_ring sameAs Q17097730.
- Analytically_irreducible_ring wasDerivedFrom Analytically_irreducible_ring?oldid=681659686.
- Analytically_irreducible_ring isPrimaryTopicOf Analytically_irreducible_ring.