##  [Topological Algebra](/topological-algebra) 

  ##  [Topological Algebra](https://algebra.quantumdictionary.io/topological-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

An algebra over a ring or field equipped with a topology such that the algebraic operations (addition, multiplication, and scalar multiplication) are continuous maps for that topology.