---
tag: SKH5YTVY06
kind: concept
name: Clifford semigroup
sources:
  - wikipedia: en:22665481@r794674826
    locator: Clifford semigroup
    note: adopted
    mention: wikipedia://en/22665481
    sections: [Summary]
same_as:
  wikidata: Q16885330
  wikipedia: Clifford semigroup
inventory: [E96RM6PJFB]
---

## Summary

A **Clifford semigroup** (sometimes also called "inverse Clifford semigroup") is a completely regular inverse semigroup. It is an inverse semigroup with $xx^{-1}=x^{-1}x$. Examples of Clifford semigroups are groups and commutative inverse semigroups.