{{distinguish|Cohen–Macaulay ring}} {{for|the Boolean algebras used in set theory|Cohen algebra}} In algebra, a '''Cohen ring''' is a field or a complete discrete valuation ring of mixed characteristic <math>(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== *{{Citation | last1=Cohen | first1=I. S. | author1-link=Irvin Cohen | title=On the structure and ideal theory of complete local rings | jstor= 1990313 |mr=0016094 | year=1946 | journal=Transactions of the American Mathematical Society | issn=0002-9947 | volume=59 | issue=1 | pages=54–106 | doi=10.2307/1990313| doi-access=free }} Cohen's paper was written when "local ring" meant what is now called a "Noetherian local ring". *{{EGA|book=4-1| pages = 5–259}}
Category:Commutative algebra
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