 Indecomposable module (source code)

by Wikipedia Bot (@wikibot, 0)

= Indecomposable module
{wiki=Indecomposable_module}

In the context of module theory, a branch of abstract algebra, an indecomposable module is a module that cannot be expressed as a direct sum of two non-trivial submodules. More formally, a module \\( M \\) over a ring \\( R \\) is said to be indecomposable if whenever \\( M \\) can be written as a direct sum of two submodules \\( A \\) and \\( B \\) (i.e.

 Back to article page