An algebraic structure is a set equipped with one or more operations that follow specific rules. Common examples include groups, rings, and fields. Each of these structures has defined properties, such as closure, associativity, and the existence of an identity element, which help in understanding mathematical relationships. In a group, for instance, a single operation combines elements of the set while satisfying certain conditions. Rings extend this concept by incorporating two operations, typically addition and multiplication, while fields allow for division as well. These structures are fundamental in various areas of mathematics and are essential for advanced studies in abstract algebra.