##  [Restriction of Scalars](/restriction-scalars) 

  ##  [Restriction of Scalars](https://algebra.quantumdictionary.io/restriction-scalars-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

The functor that views an object defined over a larger base S as an object over a smaller base R via a base map f: R → S, usually realized by forgetting the extra S-linear structure and regarding the underlying module, algebra, or representation as R-linear through f.