##  [Jacobson Density Theorem](/jacobson-density-theorem) 

  ##  [Jacobson Density Theorem](https://algebra.quantumdictionary.io/jacobson-density-theorem-0) 

  

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- Pure Mathematics -

**Algebra Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A result in ring and module theory characterizing how a primitive ring acts on a simple module: a subring R of End_D(V) that acts faithfully and irreducibly on a right vector space V over a division ring D is dense in End_D(V) with respect to the finite‑topology determined by annihilators; equivalently R can approximate any D‑linear endomorphism on finite sets of vectors.