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- Q5141331 subject Q8399470.
- Q5141331 subject Q8851962.
- Q5141331 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.".
- Q5141331 wikiPageExternalLink ?id=enNFAAAAYAAJ.
- Q5141331 wikiPageExternalLink 1990313.
- Q5141331 wikiPageWikiLink Q1142704.
- Q5141331 wikiPageWikiLink Q2138875.
- Q5141331 wikiPageWikiLink Q2379946.
- Q5141331 wikiPageWikiLink Q3685258.
- Q5141331 wikiPageWikiLink Q5141329.
- Q5141331 wikiPageWikiLink Q8399470.
- Q5141331 wikiPageWikiLink Q8851962.
- Q5141331 wikiPageWikiLink Q986694.
- Q5141331 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.".
- Q5141331 label "Cohen structure theorem".