$(\sigma ,\tau )$-derivations on prime near rings

Mohammad Ashraf; Asma Ali; Shakir Ali

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On prime near-rings with generalized derivation.

Bell, Howard E. (2008)

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Existence and Posner's theorem for $α$ -derivations in prime near-rings.

Samman, M.S. (2009)

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Identities with derivations and automorphisms on semiprime rings.

Vukman, Joso (2005)

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Some results of reverse derivation on prime and semiprime Γ-rings

Neshtiman Nooraldeen Suliman (2015)

Discussiones Mathematicae - General Algebra and Applications

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In the present paper, it is introduced the definition of a reverse derivation on a Γ-ring M. It is shown that a mapping derivation on a semiprime Γ-ring M is central if and only if it is reverse derivation. Also it is shown that M is commutative if for all a,b ∈ I (I is an ideal of M) satisfying d(a) ∈ Z(M), and d(a ∘ b) = 0.