Semisimple module
= Semisimple module
{wiki=Semisimple_module}
In the context of module theory and representation theory in algebra, a **semisimple module** is a specific type of module that has a particular structure. A module \\( M \\) over a ring \\( R \\) is said to be **semisimple** if it satisfies the following equivalent conditions: 1. **Direct Sum Decomposition**: \\( M \\) can be expressed as a direct sum of simple modules.