Commutativity of *-prime rings with generalized derivations
Mohammad Ashraf, Almas Khan (2011)
Rendiconti del Seminario Matematico della Università di Padova
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Mohammad Ashraf, Almas Khan (2011)
Rendiconti del Seminario Matematico della Università di Padova
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Bell, Howard E. (2008)
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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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.
Öznur Gölbaşi, Emine Koç (2010)
Rendiconti del Seminario Matematico della Università di Padova
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Daif, Mohamad Nagy (1998)
International Journal of Mathematics and Mathematical Sciences
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Abdelkarim Boua, Lahcen Oukhtite, Abderrahmane Raji (2014)
Commentationes Mathematicae Universitatis Carolinae
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In this paper we investigate -prime near-rings with derivations satisfying certain differential identities on Jordan ideals, and we provide examples to show that the assumed restrictions cannot be relaxed.
Kaya, Kâzım, Gölbaşi, Öznur, Aydin, Neşet (2001)
Applied Mathematics E-Notes [electronic only]
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Aydin, Neşet (1997)
International Journal of Mathematics and Mathematical Sciences
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Basudeb Dhara (2018)
Czechoslovak Mathematical Journal
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