| dbo:abstract |
In mathematics, the Cohen structure theorem, introduced by Cohen, 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. (en) В комутативній алгебрі структурна теорема Коена описує будову повних нетерових локальних кілець. Теорему довів у 1946 році американський математик Ірвінг Коен. (uk) |
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http://stacks.math.columbia.edu/tag/0323 https://books.google.com/books%3Fid=enNFAAAAYAAJ |
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| rdfs:comment |
В комутативній алгебрі структурна теорема Коена описує будову повних нетерових локальних кілець. Теорему довів у 1946 році американський математик Ірвінг Коен. (uk) In mathematics, the Cohen structure theorem, introduced by Cohen, describes the structure of complete Noetherian local rings. Some consequences of Cohen's structure theorem include three conjectures of Krull: (en) |
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Cohen structure theorem (en) Структурна теорема Коена (uk) |
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