Ring

A Ring, in mathematical terms, is a set equipped with two operations—addition and multiplication—that follow specific rules similar to those of numbers. These operations allow for combining elements in ways that maintain structure, like adding or multiplying numbers. Rings are fundamental in many areas of mathematics and science because they help organize and study systems where these operations are defined, such as integers, matrices, or polynomials. Essentially, a ring provides a framework to explore and understand how elements interact through these two operations, facilitating deeper insights into algebraic structures.