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Shakir Ali

Publications (2)

Some Commutativity Theorems in Prime Rings with Involution and Derivations

Shakir Ali & Husain Alhazmi · Journal of Advances in Mathematics and Computer Science · 2017

Let R be a ring with involution ′∗′ . An additive map x → x* of R into itself is called an involution if (i) (xy)*= y∗x∗ and (ii) (x∗)∗ = x holds for all x,y ∈ R. An additive mapping δ: R → R is called a derivation if δ(xy) = δ(x)y + xδ(y) for all x, y ∈ R. The purpose of this pa...

Open access Research Article 10.9734/JAMCS/2017/36717

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

Shakir Ali, Husain Alhazmi & Abdul Nadim Khan · Journal of Advances in Mathematics and Computer Science · 2016

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 i...

Open access Research Article 10.9734/BJMCS/2016/27293