On Jordan ideals and left -derivations in prime rings.
Zaidi, S.M.A., Ashraf, Mohammad, Ali, Shakir (2004)
International Journal of Mathematics and Mathematical Sciences
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Zaidi, S.M.A., Ashraf, Mohammad, Ali, Shakir (2004)
International Journal of Mathematics and Mathematical Sciences
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Abbas Najati (2010)
Czechoslovak Mathematical Journal
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Under some conditions we prove that every generalized Jordan triple derivation on a Lie triple system is a generalized derivation. Specially, we conclude that every Jordan triple -derivation on a Lie triple system is a -derivation.
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.
Feng Wei, Zhankui Xiao (2009)
Rendiconti del Seminario Matematico della Università di Padova
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Vukman, Joso, Kosi-Ulbl, Irena (2005)
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.