Cohen ring
From HandWiki
In algebra, a Cohen ring is a field or a complete discrete valuation ring of mixed characteristic [math]\displaystyle{ (0, p) }[/math] whose maximal ideal is generated by p. Cohen rings are used in the Cohen structure theorem for complete Noetherian local rings.
See also
- Norm field
References
- Cohen, I. S. (1946), "On the structure and ideal theory of complete local rings", Transactions of the American Mathematical Society 59 (1): 54–106, doi:10.2307/1990313, ISSN 0002-9947 Cohen's paper was written when "local ring" meant what is now called a "Noetherian local ring".
- Grothendieck, Alexandre; Dieudonné, Jean (1964). "Éléments de géométrie algébrique: IV. Étude locale des schémas et des morphismes de schémas, Première partie". Publications Mathématiques de l'IHÉS 20: 5–259. doi:10.1007/bf02684747. http://www.numdam.org/item/PMIHES_1964__20__5_0.
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