Semisimple module
id:
semisimple-module-251-1875492
title:
Semisimple module
text:
In mathematics, especially in the area of abstract algebra known as module theory, a semisimple module or completely reducible module is a type of module that can be understood easily from its parts. A ring that is a semisimple module over itself is known as an Artinian semisimple ring. Some important rings, such as group rings of finite groups over fields of characteristic zero, are semisimple rings. An Artinian ring is initially understood via its largest semisimple quotient. The structure of
brand slug:
wiki
category slug:
encyclopedia
description:
Direct sum of irreducible modules
original url:
https://en.wikipedia.org/wiki/Semisimple_module
date created:
date modified:
2024-02-18T10:12:20Z
main entity:
{"identifier":"Q1485102","url":"https://www.wikidata.org/entity/Q1485102"}
image:
fields total:
13
integrity:
14