Commutativity results for semiprime rings with derivations.
Daif, Mohamad Nagy (1998)
International Journal of Mathematics and Mathematical Sciences
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Daif, Mohamad Nagy (1998)
International Journal of Mathematics and Mathematical Sciences
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Vukman, Joso, Kosi-Ulbl, Irena (2004)
International Journal of Mathematics and Mathematical Sciences
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Dhara, Basudeb (2010)
International Journal of Mathematics and Mathematical Sciences
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Dhara, Basudeb (2009)
International Journal of Mathematics and Mathematical Sciences
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Chaudhry, Muhammad Anwar, Thaheem, A.B. (2004)
International Journal of Mathematics and Mathematical Sciences
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Daif, Mohamad Nagy, Bell, Howard E. (1992)
International Journal of Mathematics and Mathematical Sciences
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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.
Bell, Howard E. (2000)
International Journal of Mathematics and Mathematical Sciences
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Vukman, Joso (2005)
International Journal of Mathematics and Mathematical Sciences
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Nurcan Argaç, Vincenzo De Filippis, H. G. Inceboz (2008)
Rendiconti del Seminario Matematico della Università di Padova
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Aydin, Neşet (1997)
International Journal of Mathematics and Mathematical Sciences
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V. De Filippis, O. M. Di Vincenzo (1999)
Rendiconti del Seminario Matematico della Università di Padova
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