A finite ring is a mathematical structure that consists of a set equipped with two operations: addition and multiplication. In a finite ring, the set contains a limited number of elements, meaning it has a finite size. The operations must satisfy certain properties, such as associativity and distributivity, similar to those in familiar number systems like integers. An example of a finite ring is the set of integers modulo n, denoted as Z/nZ. In this case, the elements are the integers from 0 to n-1, and the operations are performed with respect to n. Finite rings are important in various areas of mathematics, including algebra and number theory.