Minimal ideal
= Minimal ideal
{wiki=Minimal_ideal}
In the context of algebra, particularly in ring theory, a minimal ideal refers to a specific type of ideal within a ring. An ideal \\( I \\) of a ring \\( R \\) is called a **minimal ideal** if it is non-empty and does not contain any proper non-zero ideals of \\( R \\). In other words, a minimal ideal \\( I \\) satisfies two properties: 1. \\( I \\neq \\\{0\\\} \\) (i.e.