##  [Universal Algebra](/universal-algebra) 

  ##  [Universal Algebra](https://algebra.quantumdictionary.io/universal-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

The abstract study of algebraic structures by treating signatures (sets of operation symbols with arities) and identities uniformly; it analyzes classes of similar algebras through operations, term formation, and equational consequences rather than through particular concrete instances.