[[Reducibility of modules]]
# Decomposable module

A (left) $R$-[[module]] $M$ is **decomposable** iff it is the [[Direct sum of modules|direct sum]] of two nonzero [[submodule|submodules]]. #m/def/module 
Note that this does not imply $M$ is a [[semisimple module]].


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#state/tidy | #lang/en | #SemBr