An algebraic structure is a non-empty set equipped with a collection of operations such that some additional axioms are satisfied. Common examples of algebraic structures are group, rings, fields, modules, lattices, and universal algebras, etc.

The notion of algebraic structures root in the ordinary addition and multiplication of numbers. It abstracts the properties of these two operations. This gives rise to the so-called abstract algebra.  Abstract algebra as its name is a subject that studies the abstract aspect of algebra, i.e. it focuses on the study of algebraic structures.