##  [Tropicalization](/tropicalization) 

  ##  [Tropicalization](https://algebra.quantumdictionary.io/tropicalization-0) 

  

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- Pure Mathematics -

**Algebra Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A combinatorial-geometric process that assigns to an algebraic variety a piecewise-linear polyhedral complex (its tropical variety) by applying a valuation coordinatewise and replacing algebraic operations by tropical ones (min-plus or max-plus), capturing leading-order valuation behaviour.