Bézout domain
id:
b-zout-domain-182-847728
title:
Bézout domain
text:
In mathematics, a Bézout domain is an integral domain in which the sum of two principal ideals is also a principal ideal. This means that Bézout's identity holds for every pair of elements, and that every finitely generated ideal is principal. Bézout domains are a form of Prüfer domain. Any principal ideal domain (PID) is a Bézout domain, but a Bézout domain need not be a Noetherian ring, so it could have non-finitely generated ideals; if so, it is not a unique factorization domain (UFD), but is
brand slug:
wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/B%C3%A9zout_domain
date created:
2005-11-11T03:13:46Z
date modified:
2024-09-06T06:24:44Z
main entity:
{"identifier":"Q2386260","url":"https://www.wikidata.org/entity/Q2386260"}
image:
fields total:
13
integrity:
14