Source: wikibot/free-module
= Free module
{wiki=Free_module}
In the context of algebra, particularly in module theory, a **free module** is a specific type of module that is analogous to a free vector space. More formally, a module \\( M \\) over a ring \\( R \\) is called a free module if it has a basis, which is a set of elements in \\( M \\) that are linearly independent and can generate the entire module.