##  [Cohen Structure Theorem](/cohen-structure-theorem) 

  ##  [Cohen Structure Theorem](https://algebra.quantumdictionary.io/cohen-structure-theorem-0) 

  

 [![Algebra](/sites/default/files/styles/large/public/2026-01/Algebra.png.webp?itok=3pHxBnUF)](/topic-specific-dictionaries/pure-mathematics/algebra)

- Pure Mathematics -

**Algebra Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A classification result for complete Noetherian local rings: a complete Noetherian local ring R with residue field k is a quotient of a formal power series ring over a coefficient ring that reflects the characteristic.