Vanishing power values of commutators with derivations on prime rings.
Dhara, Basudeb (2009)
International Journal of Mathematics and Mathematical Sciences
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Displaying similar documents to “On derivations and commutativity in prime rings.”
Vanishing power values of commutators with derivations on prime rings.
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Neshtiman Nooraldeen Suliman (2015)
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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.
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