Notes on Traces of a Symmetric Generalized (𝝈, τ)-Biderivations and Commutativity in Prime Rings

Let R be a 2-torision free prime ring and 𝜎, 𝜏∈ Aut(R). Furthermore, G: R×R→R is a symmetric generalized (𝜎, τ)-Biderivation associated with a nonzero (𝜎, τ)-Biderivation D. In this paper some certain identities are presented satisfying by the traces of G and D on an ideal of R which forces R to be commutative.