---
tag: 0FCCDXH97W
kind: concept
name: Evaluation homomorphism
msc: [13F20]
sources:
  - url: https://en.wikipedia.org/wiki/Polynomial_ring
    locator: Polynomial evaluation
---

## Summary

The evaluation homomorphism at an element $c$ of a commutative ring $R$ is the map $R[x] \to R$ that sends each polynomial to its value at $c$.
The [[definition of the evaluation homomorphism|0125QVNCFQ]] gives the details.