ON SYMMETRIC BI-f -DERIVATIONS OF SUBTRACTION ALGEBRAS

In this paper, we introduce the notion of symmetric bi-f -derivation on subtraction algebra and investigated some related properties. Also, we prove that if D : X → X is a symmetric bi-f -derivation on X, then D satisfies D(x − y, z) = D(x, z) − f (y) for all x, y, z ∈ X.