---
tag: 0XVEZDE9J8
kind: concept
name: Unit of a ring
aliases: [invertible-element]
msc: [16U60]
sources:
  - url: https://en.wikipedia.org/wiki/Unit_(ring_theory)
    locator: lead section
same_as:
  wikidata: Q118084
  wikipedia: Unit (ring theory)
---

## Summary

A unit of a ring is an element that has a multiplicative inverse in the ring.
The [[definition of a unit|019NFGFPR5]] states this precisely.