 ##  [Regulator Map](/regulator-map) 

  ##  [Regulator Map](https://algebra.quantumdictionary.io/regulator-map-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 homomorphism from algebraic K-theory groups or motivic cohomology of a variety to an analytic or cohomological target (e.g., Deligne cohomology, real cohomology, or p-adic syntomic cohomology) that produces real, complex, or p-adic invariants; typical examples are the Beilinson regulator, the Borel regulator for number fields, and syntomic regulators.