Indecomposable module

In abstract algebra, a module is indecomposable if it is non-zero and cannot be written as a direct sum of two non-zero submodules.

Indecomposable is a weaker notion than simple module: simple means "no proper submodule" $N < M$ , while indecomposable "not expressible as $N \oplus P = M$ ".

单词	Indecomposable representation
释义	Indecomposable representation 英语百科 Indecomposable module In abstract algebra, a module is indecomposable if it is non-zero and cannot be written as a direct sum of two non-zero submodules. Indecomposable is a weaker notion than simple module: simple means "no proper submodule" $N < M$ , while indecomposable "not expressible as $N \oplus P = M$ ".
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Indecomposable representation

Indecomposable module