Ring structures are geometric shapes where the ends connect to form a closed loop. In chemistry, these structures often refer to cyclic compounds, where atoms are arranged in a circular formation. Common examples include cyclohexane and benzene, which are important in organic chemistry due to their unique properties. In mathematics, ring structures can also refer to algebraic systems that include a set equipped with two operations: addition and multiplication. These systems follow specific rules, such as associativity and distributivity. An example of a mathematical ring is the set of integers, which can be added and multiplied together while satisfying the ring properties.