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Displaying similar documents to “On right ideals and derivations in prime rings with Engel condition”

Central Armendariz rings.

Agayev, Nazim, Güngöroğlu, Gonca, Harmanci, Abdullah, Halicioğlu, S. (2011)

Bulletin of the Malaysian Mathematical Sciences Society. Second Series

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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.