Hyperstructures are algebraic structures equipped with at least one multi-valued operation, called a hyperoperation – structures.

A hyperoperation on a nonempty set to the nonempty power set, i.e.

we define

is a semihypergroup is an associative

Furthermore, a hypergroup, where the reproduction axiom

References

• AHA (Algebraic Hyperstructures & Applications). A scientific group at Democritus University of Thrace, School of Education, Greece. aha.eled.duth.gr

• Applications of Hyperstructure Theory, Piergiulio Corsini, Violeta Leoreanu, Springer, 2003, ,

• Functional Equations on Hypergroups, László, Székelyhidi, World Scientific Publishing, 2012,