##  [Degree](/degree) 

  ##  [Degree](https://algebra.quantumdictionary.io/degree-0) 

  

 [![Algebra](/sites/default/files/styles/large/public/2026-01/Algebra.png.webp?itok=3pHxBnUF)](/topic-specific-dictionaries/pure-mathematics/algebra)

- Pure Mathematics -

**Algebra Dictionary**

 







 

 

 

 



 

 

 

 

Definition

Degree is an integer measure of size or complexity: for a polynomial it is the highest exponent with nonzero coefficient; for a field extension it is the vector-space dimension of the extension over the base; for a map of varieties it is the number of preimages generically, and similar meanings appear across algebraic contexts.