Notes on traces of a symmetric generalized (?, τ)‎ biderivations and commutativity in prime rings

الملخص EN

Let R be a 2-torision free prime ring and ?, ? ∈ Aut (R).

Furthermore, G : R × R → R is a symmetric generalized (?, τ)-Biderivation associated with a nonzero (?, 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.