---
tag: 0SDC934R52
kind: concept
name: Polynomial ring
msc: [13F20]
sources:
  - url: https://en.wikipedia.org/wiki/Polynomial_ring
    locator: lead section
same_as:
  wikidata: Q1455652
  wikipedia: Polynomial ring
---

## Summary

The polynomial ring $R[x]$ over a ring $R$ is the ring of the polynomials in one variable $x$ with coefficients in $R$.
The [[definition of the polynomial ring|0Q9EZS90GY]] gives the construction.