Singular submodule
= Singular submodule
{wiki=Singular_submodule}
In the context of module theory, the concept of a singular submodule arises when studying modules over a ring in relation to their annihilators. Specifically, given a module \\( M \\) over a ring \\( R \\), a submodule \\( N \\) of \\( M \\) is called a **singular submodule** if it consists of elements that can be "killed" by some non-zero element of the ring \\( R \\).