---
tag: 07C6ECNJET
kind: concept
name: Group of units of a ring
aliases: [unit-group, multiplicative-group-of-a-ring]
msc: [16U60]
sources:
  - url: https://en.wikipedia.org/wiki/Unit_(ring_theory)
    locator: Group of units
---

## Summary

The group of units of a ring is the set of its units, with the multiplication of the ring.
The [[definition of the group of units|05THZKR9AN]] gives the details.