2002
DOI: 10.1007/s10012-001-0379-4
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On Jordan Left Derivations of Lie Ideals in Prime Rings

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Cited by 33 publications
(44 citation statements)
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“…is an additive mapping such that ) ( Ashraf and Rehman (2000) studied Lie ideals and Jordan left derivations of prime rings. Halder and Paul (2012) extended the results of Ceven (2002) to Lie ideals.…”
Section: Introductionmentioning
confidence: 99%
“…is an additive mapping such that ) ( Ashraf and Rehman (2000) studied Lie ideals and Jordan left derivations of prime rings. Halder and Paul (2012) extended the results of Ceven (2002) to Lie ideals.…”
Section: Introductionmentioning
confidence: 99%
“…This result was generalized by many authors (cf. [1], [2], [3] &; [5]). In the present paper, our objective is to generalize this result for derivations defined on a subset of a prime rings.…”
Section: An Additive Mapping D : R -• R Is Called a Derivation If D(xmentioning
confidence: 99%
“…It is easy to prove that g : R → R is a generalized left derivation if and only if g is of the form g = λ + d, where λ : R → R is a right centralizer and d : R → R is a left derivation. If R contains a unit element, then it is easy to see that g is a of the form g = µ k + d, where µ k is a right multiplication by k = λ (1). We here apply the Brešar and Mathieu's result above to arbitrary spectrally bounded generalized left derivations.…”
Section: Spectrally Boundedness Of Generalized Left Derivations and Gmentioning
confidence: 97%
“…d(ab) = ad(b) + bd(a) for all a, b ∈ R). Bresar, Vukman ([7], [17]), Deng [8] and Ashraf et al [1] studied left Jordan derivations and left derivations on prime rings and semiprime rings, which are in a close connection with so-called commuting mappings. Now let us introduce some principal results concerning derivations and related mappings in Banach algebra theory.…”
Section: Introductionmentioning
confidence: 99%