Finite rings
= Finite rings
{wiki=Finite_rings}
A finite ring is a ring that contains a finite number of elements. In abstract algebra, a ring is defined as a set equipped with two binary operations: addition and multiplication, which satisfy certain properties. Specifically, a ring must satisfy the following axioms: 1. **Additive Identity**: There exists an element \\(0\\) such that \\(a + 0 = a\\) for all elements \\(a\\) in the ring.