 ##  [Central Closure](/central-closure) 

  ##  [Central Closure](https://algebra.quantumdictionary.io/central-closure-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 procedure for extending an algebra or ring by adjoining elements or extending scalars so that certain elements become central, or so that the center of the algebra is enlarged in a controlled way; often used to make a noncentral algebra into one that is central over a larger base or to force desired centrality properties.