---
tag: 07GNX8GCYP
kind: concept
name: Polynomials in several variables
aliases: [multivariate-polynomial-ring]
msc: [13F20]
sources:
  - url: https://en.wikipedia.org/wiki/Polynomial_ring
    locator: Definition (multivariate case)
---

## Summary

The ring $R[x_1, \dots, x_n]$ is the ring of the polynomials in the variables $x_1, \dots, x_n$ with coefficients in a commutative ring $R$.
The [[definition of the multivariate polynomial ring|0CES91M79A]] gives the construction.