##  [Extension of Scalars](/extension-scalars) 

  ##  [Extension of Scalars](https://algebra.quantumdictionary.io/extension-scalars-0) 

  

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- Pure Mathematics -

**Algebra Dictionary**

 







 

 

 

 



 

 

 

 

Definition

The process of enlarging the scalar domain for an algebraic object by forming the tensor product with a larger base S over a ground base R, producing for example S ⊗_R M from an R-module M; colloquially called extending scalars or scalar extension.