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- M. N. DAIF
- 2009

The following result is proved: Let R be a 2-torsion free semiprime ring, and let T : R → R be an additive mapping, related to a surjective homomorphism θ : R → R, such that 2T (x2) = T (x)θ(x) + θ(x)T (x) for all x ∈ R. Then T is both a left and a right θ-centralizer.

- M. N. Daif, Tammam El-Sayiad
- 2007

The purpose of this note is to prove the following result. Let R be a 6−torsion free semiprime *-ring and let G: R−→R be an additive mapping such that G(xyx) = G(x)y∗x∗ + xD(y)x∗ + xyD(x) holds for all x, y ∈ R and some *-derivations D of R. Then G is a Jordan*generalized derivation. Mathematics Subject Classification: 16W10, 39B05

- M. N. Daif, Tammam El-Sayiad
- 2007

Let R be a 2−torsion free semiprime ring such that R has a commutator which is not a zero divisor and G: R−→R be an additive mapping such that G(xyx) = G(x)yx + xD(yx) holds for all x, y ∈ R for some derivation D. Then G is a generalized derivation. Mathematics Subject Classification: 16W10, 16E99

- M. N. Daif, Tammam El-Sayiad
- 2007

The purpose of this note is to prove the following result. Suppose R is a 2-torsion free semiprime *-ring such that R has a commutator which is not a zero divisor and let G : R → R be an additive mapping such that G(xx∗) = G(x)x∗ + xD(x∗) is fulfilled for all x ∈ R, for some derivation D of R. In this case G is a generalized derivation on R. Mathematics… (More)

- Howard E. Bell, Mohamad Nagy Daif
- Int. J. Math. Mathematical Sciences
- 2014

- M. N. Daif, Tammam El-Sayiad
- 2007

The purpose of this note is to prove the following result. Let R be a semiprime ring of characteristic not 2 and G: R−→R be an additive mapping such that G(x2) = G(x)x + xD(x) holds for all x ∈ R and some derivations D of R. Then G is a Jordan generalized derivation. Mathematics Subject Classification: 16W10, 16W25, 16W20

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