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{{distinguish|Cohen–Macaulay ring}}
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]]


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==References==
*{{Citation | last1=Cohen | first1=I. S. | title=On the structure and ideal theory of complete local rings | url= http://www.jstor.org/stable/1990313 | id={{MR|0016094}} | year=1946 | journal=[[Transactions of the American Mathematical Society]] | issn=0002-9947 | volume=59 | pages=54–106}} 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]]

Revision as of 11:07, 23 October 2013

Template:Distinguish 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

References

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