##  [Algebraic Structure](/algebraic-structure) 

  ##  [Algebraic Structure](https://algebra.quantumdictionary.io/algebraic-structure-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 set (or class) equipped with specified finitary operations and relations—such as binary operations, unary operations, and distinguished elements—together with axioms they satisfy; this data defines the algebraic object under study (e.g., group, ring, lattice).