##  [Hilbert Function](/hilbert-function) 

  ##  [Hilbert Function](https://algebra.quantumdictionary.io/hilbert-function-0) 

  

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- Pure Mathematics -

**Algebra Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A numerical function that assigns to each degree d the vector-space dimension (or length) of the graded component of degree d of a graded module or graded algebra; it records how dimensions grow with degree.