Let \(R\) be a ring. An \(R\)-module \(M\) is indecomposable if there are no nonzero submodules \(M_1,M_2\subseteq M\) with \(M=M_1\oplus M_2\).
When is a module indecomposable?
Indecomposable module
FD-2EUYX
FD-2EUYX
Let \(R\) be a ring. An \(R\)-module \(M\) is indecomposable if there are no nonzero submodules \(M_1,M_2\subseteq M\) with \(M=M_1\oplus M_2\).