On some equations related to derivations in rings.
Vukman, Joso, Kosi-Ulbl, Irena (2005)
International Journal of Mathematics and Mathematical Sciences
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Vukman, Joso, Kosi-Ulbl, Irena (2005)
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.
Vukman, Joso, Kosi-Ulbl, Irena (2005)
International Journal of Mathematics and Mathematical Sciences
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Motoshi Hongan, Nadeem Ur Rehman, Radwan Mohammed AL-Omary (2011)
Rendiconti del Seminario Matematico della Università di Padova
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Zaidi, S.M.A., Ashraf, Mohammad, Ali, Shakir (2004)
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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L. Oukhtite, A. Mamouni, Mohammad Ashraf (2013)
Commentationes Mathematicae Universitatis Carolinae
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In this paper we investigate commutativity of ring with involution which admits a derivation satisfying certain algebraic identities on Jordan ideals of . Some related results for prime rings are also discussed. Finally, we provide examples to show that various restrictions imposed in the hypotheses of our theorems are not superfluous.
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.