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The stability of Jordan k-*-derivations on Γ∗-Banach algebras by fixed point method
Berna Arslan
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Propagation of solitary waves for hydrodynamical nonlinear complex model in a fractional derivative setting. [PDF]
Sci RepBilal M +6 more
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Jordan, Jordan Right and Jordan Left Derivations on Convolution Algebras
Bulletin of the Iranian Mathematical Society, 2018A Jordan derivation on a ring $R$ is an additive mapping $d$ that satisfies \[ d(x^2) = d(x) x + x d(x) \] for all $x \in R$; $d$ is said to be a Jordan left derivation if \[ d(x^2) = 2xd(x) \] for all $x \in R$. Jordan right derivations are defined similarly.
Ahmadi Gandomani, Mohammad Hossein +1 more
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Additivity of Jordan Derivations on Jordan Algebras with Idempotents
Bulletin of the Iranian Mathematical Society, 2022Additivity is one of the most active topics in the study of mappings on rings and operator algebras. The aim of this paper is to study the additivity of Jordan derivations on Jordan algebras. The following result is obtained. Let \(J\) be a Jordan algebra with a nontrivial idempotent \(e\) and let \(J=J_1\oplus J_{\frac{1}{2}}\oplus J_0\) be the Peirce
Ferreira, Bruno L. M. +2 more
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JORDAN *-DERIVATIONS OF PRIME RINGS
Journal of Algebra and Its Applications, 2014Let R be a prime ring, which is not commutative, with involution * and with Qms(R) the maximal symmetric ring of quotients of R. An additive map δ : R → R is called a Jordan *-derivation if δ(x2) = δ(x)x* + xδ(x) for all x ∈ R. A Jordan *-derivation of R is called X-inner if it is of the form x ↦ xa - ax* for x ∈ R, where a ∈ Qms(R).
Lee, Tsiu-Kwen, Zhou, Yiqiang
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