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 submodulesMathworldPlanetmath other than itself and the zero moduleMathworldPlanetmath.

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

Title simple module
Canonical name SimpleModule
Date of creation 2013-03-22 12:01:40
Last modified on 2013-03-22 12:01:40
Owner bwebste (988)
Last modified by bwebste (988)
Numerical id 7
Author bwebste (988)
Entry type Definition
Classification msc 16D80
Synonym irreducible module
Related topic JacobsonRadical