---
tag: 0T3WVTD675
kind: concept
name: Frobenius endomorphism
msc: [13A35]
sources:
  - url: https://en.wikipedia.org/wiki/Frobenius_endomorphism
    locator: lead section
same_as:
  wikidata: Q769124
  wikipedia: Frobenius endomorphism
---

## Summary

The Frobenius endomorphism of a commutative ring of prime characteristic $p$ is the map that sends each element to its $p$-th power.
It is a ring homomorphism.
The [[definition of the Frobenius endomorphism|0GHDDVAH8P]] gives the details.