Symmetric bi-derivations on prime and semi-prime rings.
J. Vukman (1989)
Aequationes mathematicae
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J. Vukman (1989)
Aequationes mathematicae
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Ajda Fošner (2014)
Colloquium Mathematicae
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Let n ≥ 3 be a positive integer. We study symmetric skew n-derivations of prime and semiprime rings and prove that under some certain conditions a prime ring with a nonzero symmetric skew n-derivation has to be commutative.
Motoshi Hongan (1996)
Aequationes mathematicae
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Bresar Matej (1996)
Aequationes mathematicae
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Dhara, Basudeb, Sharma, R.K. (2009)
Sibirskij Matematicheskij Zhurnal
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Samman, M.S. (2009)
Acta Mathematica Universitatis Comenianae. New Series
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Oukhtite, L., Salhi, S., Taoufiq, L. (2010)
Beiträge zur Algebra und Geometrie
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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.
Franz B. Kalhoff (1990)
Aequationes mathematicae
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Oukhtite, L., Salhi, S., Taoufiq, L. (2010)
Beiträge zur Algebra und Geometrie
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Deng, Qing (1997)
International Journal of Mathematics and Mathematical Sciences
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