 ##  [Embeddability](/index.php/embeddability) 

  ##  [Embeddability](https://mathlogic.quantumdictionary.io/embeddability-0) 

  

 [![Mathematics & Logic Dictionary](/sites/default/files/styles/large/public/2026-01/Mathematics%20%26%20Logic.png.webp?itok=UhtTRPnp)](/index.php/topic-specific-dictionaries/natural-formal-sciences/mathematics-logic)

- Natural &amp; Formal Sciences -

**Mathematics &amp; Logic Dictionary**

 







 

 

 

 



 

 

 

 

Definition

The relation that one structure can be injected into another by an injective homomorphism (embedding) that preserves the interpretations of all symbols and, depending on the precise notion, reflects relations as required. Embeddability says that a copy of the first structure exists inside the second up to isomorphism onto its image.