Bulletin of Computational Applied Mathematics (Bull CompAMa)
Redox reactions as experimental examples of ternary weak algebraic hyperstructures
Bijan Davvaz, Violeta Leoreanu-Fotea, Feng Feng
A ternary hyperoperation on a set H is a 3-ary hyperoperation, which associates a subset of H with any three elements of H. In this paper, we give examples of ternary hyperoperations associated with redox reactions. We observe that for Ag, Cu, Am and Au the ternary hyperoperations are weak associative and so their algebraic structures are $H_v$-semigroups.
Keywords: algebraic hyperstructure; ternary hyperoperation; weak associativity; $H_v$-semigroup; redox reactions.