Perfect ring
id:
perfect-ring-233-17536163
title:
Perfect ring
text:
In the area of abstract algebra known as ring theory, a left perfect ring is a type of ring over which all left modules have projective covers. The right case is defined by analogy, and the condition is not left-right symmetric; that is, there exist rings which are perfect on one side but not the other. Perfect rings were introduced in Bass's book. A semiperfect ring is a ring over which every finitely generated left module has a projective cover. This property is left-right symmetric.
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wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Perfect_ring
date created:
date modified:
2023-08-27T17:07:03Z
main entity:
{"identifier":"Q7168096","url":"https://www.wikidata.org/entity/Q7168096"}
image:
fields total:
13
integrity:
13