---
tag: 0N5NJZKKN3
kind: concept
name: Idempotent element
msc: [16U40]
sources:
  - url: https://en.wikipedia.org/wiki/Idempotent_(ring_theory)
    locator: lead section
same_as:
  wikidata: Q2243424
  wikipedia: Idempotent (ring theory)
---

## Summary

An idempotent element of a ring is an element that is equal to its own square.
The [[definition of an idempotent element|0X4JKZXJ86]] states this precisely.