Kasch ring
id:
kasch-ring-166-2101361
title:
Kasch ring
text:
In ring theory, a subfield of abstract algebra, a right Kasch ring is a ring R for which every simple right R-module is isomorphic to a right ideal of R. Analogously the notion of a left Kasch ring is defined, and the two properties are independent of each other. Kasch rings are named in honor of mathematician Friedrich Kasch. Kasch originally called Artinian rings whose proper ideals have nonzero annihilators S-rings. The characterizations below show that Kasch rings generalize S-rings.
brand slug:
wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Kasch_ring
date created:
2011-12-29T01:54:17Z
date modified:
2024-08-30T04:09:41Z
main entity:
{"identifier":"Q6374084","url":"https://www.wikidata.org/entity/Q6374084"}
image:
fields total:
13
integrity:
14