Cohen ring
{{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 whose maximal ideal is generated by p. Cohen rings are used in the Cohen structure theorem for complete Noetherian local rings.
See also
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}}
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