Simple ring
= Simple ring
{wiki=Simple_ring}
In mathematics, specifically in the field of abstract algebra, a **simple ring** is a non-zero ring \\( R \\) that has no non-trivial two-sided ideals. More formally, a ring \\( R \\) is simple if: 1. \\( R \\neq \\\{ 0 \\\} \\) (the zero ring). 2. The only two-sided ideals of \\( R \\) are \\( \\\{ 0 \\\} \\) and \\( R \\) itself.