Notes on Traces of a Symmetric Generalized (?, ?)-Biderivations and Commutativity in Prime Rings
Prime rings
Symmetric generalized (?
?)-Biderivation
Trace of biadditive mappings
Commuting mappings.
Let R be a 2-torision free prime ring and ?, ?? Aut(R). Furthermore, G: R×R?R is a symmetric generalized (?, ?)-Biderivation associated with a nonzero (?, ?)-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
