Cohen ring
Not to be confused with Cohen–Macaulay ring.
For The Boolean algebras used in set theory, see Cohen algebra.
In algebra, a Cohen ring is a field or a complete discrete valuation ring of mixed characteristic 
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: 54–106, doi:10.2307/1990313, ISSN 0002-9947, MR 0016094 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" Check
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