Algebraic StructuresHybrid structureOne set with operationsTwo sets with operations Algebraic Structures NotionUniversal algebraAbstract AlgebraOperatorInverse elementIdentity elementInvolution Algebraic structureIn mathematics, an algebraic structure consists of a nonempty set A (called the underlying set, carrier set or domain), a collection of operations on A (typically binary operations such as addition and multiplication), and a finite set of identities, known as axioms, that these operations must satisfy.https://en.wikipedia.org/wiki/Algebraic_structure