##  [Failure of Finite Presentation](/index.php/failure-finite-presentation) 

  ##  [Failure of Finite Presentation](https://algebra.quantumdictionary.io/failure-finite-presentation-0) 

  

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- Pure Mathematics -

**Algebra Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A phenomenon in which an algebraic object (an algebra, module, functor, scheme, or similar) cannot be described by finitely many generators together with finitely many relations; equivalently, it is not isomorphic to a quotient of a finitely generated free object by a finitely generated ideal of relations.