---
tag: 0JN0SQG2JH
kind: concept
name: Kernel of a ring homomorphism
msc: [16B99]
sources:
  - url: https://en.wikipedia.org/wiki/Kernel_(algebra)
    locator: Ring homomorphisms
---

## Summary

The kernel of a ring homomorphism is the set of the elements that it sends to zero.
It is an ideal of the domain of the homomorphism.
The [[definition of the kernel|0AAHE7GEW6]] gives the details.