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 $(0,p)$ 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's paper was written when "local ring" meant what is now called a "Noetherian local ring".