∗-α-derivation on prime ∗-rings

Let r be an associative ring with involution ∗. an additive map λ → λ* of r into itself is called an involution if the following conditions are satisfied (i)(λµ)* = µ*λ* , (ii)(λ*)* = λ for all λ, µ ∈ r . a ring equipped with an involution is called an ∗-ring or ring with involution. the aim of the present paper is to establish some results on ∗-α-derivation in ∗-rings and investigate the commutativity of prime ∗-rings admitting ∗-α-derivation on r satisfying certain identities also prove that if r admits a reverse ∗-α-derivation δ of r, then α ∈ z(r) and some related results have also been discussed.