---
tag: 0VTH8KPCG2
kind: concept
name: Ring homomorphism
msc: [16B99]
sources:
  - url: https://en.wikipedia.org/wiki/Ring_homomorphism
    locator: lead section
same_as:
  wikidata: Q1194212
  wikipedia: Ring homomorphism
---

## Summary

A ring homomorphism is a map between two rings that preserves addition, multiplication and the identity element.
The [[definition of a ring homomorphism|0GGE0Z0JQ1]] gives the conditions.