Hyperstructures of affine algebraic group schemes (Q290055)

The author studies the concept of algebraic hyperstructures over the space of affine algebraic group schemes and prove that any affine algebraic group scheme \(X=\operatorname{Spec}A\) over a field \(k\) with \(|k|\geq3\) has a canonical hyperstructure induced from the coproduct on \(A\) which satisfies the weak associativity property equipped with an identity element and some other conditions.