# simple module

Let $R$ be a ring, and let $M$ be an $R$-module. We say that $M$ is a or odule if it contains no submodules other than itself and the zero module.

Typically, by convention, the zero module is not itself considered simple.

Title simple module SimpleModule 2013-03-22 12:01:40 2013-03-22 12:01:40 bwebste (988) bwebste (988) 7 bwebste (988) Definition msc 16D80 irreducible module JacobsonRadical