Maximal ideal
id:
maximal-ideal-278-4080743
title:
Maximal ideal
text:
In mathematics, more specifically in ring theory, a maximal ideal is an ideal that is maximal (with respect to set inclusion) amongst all proper ideals. In other words, I is a maximal ideal of a ring R if there are no other ideals contained between I and R. Maximal ideals are important because the quotients of rings by maximal ideals are simple rings, and in the special case of unital commutative rings they are also fields. In noncommutative ring theory, a maximal right ideal is defined analogou
brand slug:
wiki
category slug:
encyclopedia
description:
Ideal of a ring contained in no other ideal except the ring itself
original url:
https://en.wikipedia.org/wiki/Maximal_ideal
date created:
date modified:
2023-11-26T12:03:58Z
main entity:
{"identifier":"Q1203540","url":"https://www.wikidata.org/entity/Q1203540"}
image:
fields total:
13
integrity:
14