##  [Polynomial Ring](/polynomial-ring) 

  ##  [Polynomial Ring](https://algebra.quantumdictionary.io/polynomial-ring-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

The ring of polynomials in one or more indeterminates over a base ring or field R, denoted R[x], R[x1,...,xn], consisting of finite R-linear combinations of monomials in the indeterminates.