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- Cohen_structure_theorem abstract "In mathematics, the Cohen structure theorem, introduced by Cohen (1946), describes the structure of complete Noetherian local rings. Some consequences of Cohen's structure theorem include three conjectures of Krull:Any complete regular equicharacteristic Noetherian local ring is a ring of formal power series over a field. (Equicharacteristic means that the local ring and its residue field have the same characteristic, and is equivalent to the local ring containing a field.)Any complete regular Noetherian local ring that is not equicharacteristic but is unramified is uniquely determined by its residue field and its dimension. Any complete Noetherian local ring is the image of a complete regular Noetherian local ring.".
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- Cohen_structure_theorem wikiPageExternalLink 1990313.
- Cohen_structure_theorem wikiPageID "27443678".
- Cohen_structure_theorem wikiPageLength "2663".
- Cohen_structure_theorem wikiPageOutDegree "9".
- Cohen_structure_theorem wikiPageRevisionID "649234172".
- Cohen_structure_theorem wikiPageWikiLink Category:Commutative_algebra.
- Cohen_structure_theorem wikiPageWikiLink Category:Theorems_in_abstract_algebra.
- Cohen_structure_theorem wikiPageWikiLink Cohen_ring.
- Cohen_structure_theorem wikiPageWikiLink Completion_(algebra).
- Cohen_structure_theorem wikiPageWikiLink Discrete_valuation_ring.
- Cohen_structure_theorem wikiPageWikiLink Local_ring.
- Cohen_structure_theorem wikiPageWikiLink Regular_local_ring.
- Cohen_structure_theorem wikiPageWikiLink Transactions_of_the_American_Mathematical_Society.
- Cohen_structure_theorem wikiPageWikiLink sub%3E.
- Cohen_structure_theorem wikiPageWikiLinkText "Cohen structure theorem".
- Cohen_structure_theorem wikiPageWikiLinkText "structure theorem".
- Cohen_structure_theorem wikiPageUsesTemplate Template:Citation.
- Cohen_structure_theorem wikiPageUsesTemplate Template:Harvs.
- Cohen_structure_theorem subject Category:Commutative_algebra.
- Cohen_structure_theorem subject Category:Theorems_in_abstract_algebra.
- Cohen_structure_theorem type Theorem.
- Cohen_structure_theorem comment "In mathematics, the Cohen structure theorem, introduced by Cohen (1946), describes the structure of complete Noetherian local rings. Some consequences of Cohen's structure theorem include three conjectures of Krull:Any complete regular equicharacteristic Noetherian local ring is a ring of formal power series over a field.".
- Cohen_structure_theorem label "Cohen structure theorem".
- Cohen_structure_theorem sameAs Q5141331.
- Cohen_structure_theorem sameAs m.0nhgn54.
- Cohen_structure_theorem sameAs Q5141331.
- Cohen_structure_theorem wasDerivedFrom Cohen_structure_theorem?oldid=649234172.
- Cohen_structure_theorem isPrimaryTopicOf Cohen_structure_theorem.