##  [Left Cancellation Law](/left-cancellation-law) 

  ##  [Left Cancellation Law](https://algebra.quantumdictionary.io/left-cancellation-law-0) 

  

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- Pure Mathematics -

**Algebra Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A property of a binary operation in an algebraic structure that says: for a fixed element a, if a · x = a · y then x = y; when this holds for all a in a specified subset, we say left cancellation holds there.