Source: wikibot/stably-free-module

= Stably free module
{wiki=Stably_free_module}

In the context of algebra, a **stably free module** is a type of module that behaves similarly to free modules under certain conditions. More formally, a module \\( M \\) over a ring \\( R \\) is said to be **stably free** if there exists a non-negative integer \\( n \\) such that \\( M \\oplus R^n \\) is a free module. In this definition: - \\( M \\) is the module in question.