 ##  [Structure Homomorphism](/index.php/structure-homomorphism) 

  ##  [Structure Homomorphism](https://mathlogic.quantumdictionary.io/structure-homomorphism-0) 

  
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- Natural &amp; Formal Sciences -

**Mathematics &amp; Logic Dictionary**

 
Definition

A map between two structures (in the same signature) that preserves the interpretations of function symbols and sends tuples satisfying a relation in the domain to tuples satisfying the corresponding relation in the codomain. For constants it carries designated elements to designated elements.