Clean ring
id:
clean-ring-259-25872
title:
Clean ring
text:
In mathematics, a clean ring is a ring in which every element can be written as the sum of a unit and an idempotent. A ring is a local ring if and only if it is clean and has no idempotents other than 0 and 1. The endomorphism ring of a continuous module is a clean ring. Every clean ring is an exchange ring. A matrix ring over a clean ring is itself clean.
brand slug:
wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Clean_ring
date created:
date modified:
2022-08-11T23:02:25Z
main entity:
{"identifier":"Q24896331","url":"https://www.wikidata.org/entity/Q24896331"}
image:
fields total:
13
integrity:
13