##  [Central Simple Algebra](/central-simple-algebra) 

  ##  [Central Simple Algebra](https://algebra.quantumdictionary.io/central-simple-algebra-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 finite-dimensional associative algebra A over a field F that is simple (has no nontrivial two-sided ideals) and whose center equals F, i.e., Z(A)=F.