[[Reducibility of modules]]
# Indecomposable module

A (left) $R$-[[module]] is **indecomposable** iff it not the [[Direct sum of modules|direct sum]] of two nontrivial [[Submodule|submodules]], #m/def/module 
i.e. it is not a [[decomposable module]].
Note this does not imply $M$ is a [[simple module]].


#
---
#state/develop | #lang/en | #SemBr