##  [Unital Associative Algebra](/unital-associative-algebra) 

  ##  [Unital Associative Algebra](https://algebra.quantumdictionary.io/unital-associative-algebra-0) 

  

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- Pure Mathematics -

**Algebra Dictionary**

 







 

 

 

 



 

 

 

 

Definition

An associative algebra that contains a distinguished multiplicative identity element 1 such that 1·a = a·1 = a for every element a. The unit is part of the algebraic data and is used in defining unital homomorphisms and modules.