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The purpose of this paper is to present some results concerning the trace of symmetric (α, α)Biderivation and symmetric left α-Bimultiplier on prime rings. In these results we investigate commutativity of rings, further some certain identities satisfying by symmetric (α, α)-Biderivation and biadditive mappings that make these mapping α-commuting.

Results Concerning the Trace of Some Biadditive Mappings of Prime and Semiprime Rings