Semiprime ring
id:
semiprime-ring-291-6903993
title:
Semiprime ring
text:
In ring theory, a branch of mathematics, semiprime ideals and semiprime rings are generalizations of prime ideals and prime rings. In commutative algebra, semiprime ideals are also called radical ideals and semiprime rings are the same as reduced rings. For example, in the ring of integers, the semiprime ideals are the zero ideal, along with those ideals of the form n Z where n is a square-free integer. So, 30 Z is a semiprime ideal of the integers (because 30 = 2 × 3 × 5, with no repeated prime
brand slug:
wiki
category slug:
encyclopedia
description:
Generalizations of prime ideals and prime rings
original url:
https://en.wikipedia.org/wiki/Semiprime_ring
date created:
date modified:
2023-10-16T04:21:25Z
main entity:
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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:
15