= Decomposition of a module
{wiki=Decomposition_of_a_module}
In the context of abstract algebra, particularly in the study of modules over a ring, the decomposition of a module refers to expressing the module as a direct sum (or direct product) of submodules. This decomposition helps in understanding the structure of the module by breaking it down into simpler, well-understood components. \#\#\# Key Definitions: 1. **Module**: A module over a ring \\( R \\) is a generalization of the notion of a vector space over a field.
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