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Research Article Open access CC BY 4.0

On Jordan (θ,∅)*-biderivations in Rings with Involution

Shakir Ali, Husain Alhazmi, Abdul Nadim Khan

Journal of Advances in Mathematics and Computer Science · pp. 1–7 · Published 2 Jul 2016

10.9734/BJMCS/2016/27293

Abstract

Let R be a ring with involution. In the present paper, we characterize biadditive mappings which satisfies some functional identities related to symmetric Jordan (θ,∅)*-biderivation of prime rings with involution. In particular, we prove that on a 2-torsion free prime ring with involution, every symmetric Jordan triple (θ,∅)*-biderivation is a symmetric Jordan (θ,∅)*-biderivation.

Prime * -ring involution symmetric Jordan (θ,∅)*-biderivation symmetric Jordan triple (θ,∅)*-biderivation.

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