##  [Torsion-Free](/index.php/torsion-free) 

  ##  [Torsion-Free](https://algebra.quantumdictionary.io/torsion-free-0) 

  

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- Pure Mathematics -

**Algebra Dictionary**

 







 

 

 

 



 

 

 

 

Definition

An algebraic object is torsion-free if its nonzero elements do not have finite order under the relevant operation; in module contexts over an integral domain, torsion-free means no nonzero element is annihilated by a nonzero scalar.