Geodesic
Some results of reverse derivation on prime and semiprime Γ-rings
Discussiones Mathematicae. General Algebra and Applications, Tome 35 (2015) no. 1, pp. 53-58

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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.
Keywords: Prime Γ-rings, semiprime Γ-rings, derivations, reverse derivations 
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Suliman, Neshtiman. Some results of reverse derivation on prime and semiprime Γ-rings. Discussiones Mathematicae. General Algebra and Applications, Tome 35 (2015) no. 1, pp. 53-58. http://geodesic.mathdoc.fr/item/DMGAA_2015_35_1_a4/