##  [Finitely Presented Algebra](/finitely-presented-algebra) 

  ##  [Finitely Presented Algebra](https://puremath.quantumdictionary.io/finitely-presented-algebra-0) 

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

An algebra that admits a presentation by a finite set of generators together with a finite set of defining equations (relations) among those generators; equivalently, it is a quotient of a free algebra on finitely many generators by a congruence generated by finitely many pairs of terms.