##  [Rees Algebra Construction](/rees-algebra-construction) 

  ##  [Rees Algebra Construction](https://algebra.quantumdictionary.io/rees-algebra-construction-0) 

  

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- Pure Mathematics -

**Algebra Dictionary**

 







 

 

 

 



 

 

 

 

Definition

The process of forming the Rees algebra R(I) = ⊕_{n≥0} I^n t^n for an ideal I (or a filtration) in a ring, producing a graded algebra that records the graded pieces as homogeneous components and encodes blowup and deformation information.