Displaying similar documents to “On some equations related to derivations in rings.”

Jordan ideals and derivations in prime near-rings

Abdelkarim Boua, Lahcen Oukhtite, Abderrahmane Raji (2014)

Commentationes Mathematicae Universitatis Carolinae

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In this paper we investigate 3 -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.

Commutativity theorems for rings with differential identities on Jordan ideals

L. Oukhtite, A. Mamouni, Mohammad Ashraf (2013)

Commentationes Mathematicae Universitatis Carolinae

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In this paper we investigate commutativity of ring R with involution ' * ' which admits a derivation satisfying certain algebraic identities on Jordan ideals of R . 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.