Prime ideal
id:
prime-ideal-182-6343797
title:
Prime ideal
text:
In algebra, a prime ideal is a subset of a ring that shares many important properties of a prime number in the ring of integers. The prime ideals for the integers are the sets that contain all the multiples of a given prime number, together with the zero ideal. Primitive ideals are prime, and prime ideals are both primary and semiprime.
brand slug:
wiki
category slug:
encyclopedia
description:
Ideal in a ring which has properties similar to prime elements
original url:
https://en.wikipedia.org/wiki/Prime_ideal
date created:
2001-12-20T22:07:51Z
date modified:
2024-09-06T11:19:43Z
main entity:
{"identifier":"Q863912","url":"https://www.wikidata.org/entity/Q863912"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/2/2a/A_portion_of_the_lattice_of_ideals_of_Z_illustrating_prime%2C_semiprime_and_primary_ideals_SVG.svg","width":707,"height":343}
fields total:
13
integrity:
16