… ABSTRACT - In this paper we prove that on a 2-torsion free semiprime ring R every
Jordan triple (resp. generalized Jordan triple) derivation on Lie ideal L is a derivation on L(resp …

… special Jordan ring 3 into a special Jordan ring 3^ that has no elements of additive order 2 is
a … Jordan ring is a Lie triple system. Also, it is now clear that if 7 is a Jordan homomorphism, …

… Lie algebras starting from a Jordan algebra, we can start from a suitable Lie algebra and
derive a Jordan … Acutally, what we get is slightly more general than a Jordan algebra. We will …

… Jordan triple derivation if F(xyx) = F(x)yx + xf(y)x + xyf(x) with some Jordan triple derivation f
… In this note, we deal with generalized Jordan triple derivations of semiprime rings, and give …

… Throughout the paper U will denote a Lie ideal of a ring R. In the main result of … Lie ideal U
verifies u2 ∈ U, for every u ∈ U. A Lie ideal of this type will be called a square closed Lie ideal…

… (𝜎, 𝜏)-higher derivation) of 𝑈 into 𝑅. In the present paper it is … Lie ideal of a prime ring 𝑅 of
characteristic different from two, then every generalized Jordan triple (𝜎, 𝜏)-higher derivation …

… Haetinger extended the above results of prime rings in Lie ideals. By the motivations of
above works, we introduce a Jordan generalized higher derivations in Γ-rings. We prove that …

… Section 4.3 is devoted to the study of generalized Jordan {6, <^)-derivations in rings and
various generalizations of Herstein's classical theorem [48] have been presented. Finally, in …

… Jordan triple (θ, ϕ)-derivations (… Lie triple (θ, ϕ)-derivations) on a Hom-Lie algebra under
some conditions. In particular, θ-Jordan derivations are Lie triple θ-derivations on a Hom-Lie …

… In this paper we prove that on a 2-torsion free semiprime ring R every Jordan triple (α, β)-derivation
(resp. generalized … In [6], Bresar proved that any Jordan triple derivation on a 2-torsion …