• SYMMETRIC LEFT BI-DERIVATIONS ON SEMIPRIME RINGS

C. JAYA SUBBA REDDY*, G. VENKATABHASKARA RAO

Abstract


Let be a 2-torsion and 3-torsion free semiprime ring. Let and be a symmetric left bi-derivation and symmetric bi-additive mapping. If and holds for all in , where be a trace of and be a trace of . In this case .


Keywords


Semiprime ring, Symmetric mapping, Trace, Symmetric bi-derivation, Symmetric bi-additive mapping, Symmetric left bi-derivation.

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