 Locally nilpotent (source code)

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= Locally nilpotent
{wiki=Locally_nilpotent}

In the context of algebra, particularly in ring theory and module theory, a module (or a ring) is said to be **locally nilpotent** if every finitely generated submodule (or ideal) has a nilpotent element. More formally, an element \\( x \\) in a ring (or module) is nilpotent if there exists some positive integer \\( n \\) such that \\( x^n = 0 \\).

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