---
tag: 0RCV1ZFP8G
kind: concept
name: Boolean ring
msc: ["06E20"]
sources:
  - url: https://en.wikipedia.org/wiki/Boolean_ring
    locator: lead section
same_as:
  wikidata: Q2634401
  wikipedia: Boolean ring
---

## Summary

A Boolean ring is a ring in which every element is idempotent. Boolean rings are Boolean algebras written in the language of rings, with exclusive or as addition. The node [[Boolean ring|0N5FCV2YV6]] gives the precise definition.