Finite ring
= Finite ring
{wiki=Finite_ring}
A **finite ring** is a ring that contains a finite number of elements. In more formal terms, a ring \\( R \\) is an algebraic structure consisting of a set equipped with two binary operations, typically referred to as addition and multiplication, that satisfy certain properties: 1. **Addition**: - \\( R \\) is an abelian group under addition. This means that: - There exists an additive identity (usually denoted as \\( 0 \\)).