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Jordan Derivations of Prime Rings [PDF]
Proceedings of the American Mathematical Society, 1957 A Jordan derivation of an associative ring \(A\) is a derivation for \(A^+\), the Jordan ring obtained from \(A\) by replacing its associative multiplication by \(a\circ b= ab+ba\). It is proved that if \(A\) is a prime ring of characteristic not two, then any Jordan derivation of \(A\) is an ordinary (associative) derivation. For characteristic 2, the
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A Class of Nonlinear Nonglobal Semi-Jordan Triple Derivable Mappings on Triangular Algebras
Journal of Mathematics, 2021 In this paper, we proved that each nonlinear nonglobal semi-Jordan triple derivable mapping on a 2-torsion free triangular algebra is an additive derivation.
Xiuhai Fei, Haifang Zhang
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Nonlinear Skew Lie-Type Derivations on ∗-Algebra
Mathematics, 2023 Let A be a unital ∗-algebra over the complex fields C. For any H1,H2∈A, a product [H1,H2]•=H1H2−H2H1* is called the skew Lie product. In this article, it is shown that if a map ξ : A→A (not necessarily linear) satisfies ξ(Pn(H1,H2,…,Hn))=∑i=1nPn(H1,…,Hi ...
Md Arshad Madni +2 more
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*-Jordan Semi-Triple Derivable Mappings
Indian Journal of Pure and Applied Mathematics, 2020 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chen, Lin, Zhang, Jianhua
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Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Chimeric antigen receptor (CAR) T‐cell therapy has been investigated in neurological diseases, encompassing both central nervous system malignancies and autoimmune disorders, thereby extending its application beyond hematological cancers.
Omar Alqaisi +5 more
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Jordan Derivations and Antiderivations of Generalized Matrix Algebras [PDF]
, 2012 Let $\mathcal{G}=[A & M N & B]$ be a generalized matrix algebra defined by the Morita context $(A, B,_AM_B,_BN_A, \Phi_{MN}, \Psi_{NM})$. In this article we mainly study the question of whether there exist proper Jordan derivations for the generalized ...
Feng Wei, Leon Van, Wyk, Yanbo Li
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Local triple derivations on C*-algebras and JB*-triples
, 2013 In a first result we prove that every continuous local triple derivation on a JB$^*$-triple is a triple derivation. We also give an automatic continuity result, that is, we show that local triple derivations on a JB$^*$-triple are continuous even if not ...
Burgos, María +2 more
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GENERALIZED JORDAN DERIVATIONS ON SEMIPRIME RINGS [PDF]
Journal of the Australian Mathematical Society, 2019 The purpose of this note is to prove the following. Suppose $\mathfrak{R}$ is a semiprime unity ring having an idempotent element $e$ ($e\neq 0,~e\neq 1$) which satisfies mild conditions. It is shown that every additive generalized Jordan derivation on $\mathfrak{R}$ is a generalized derivation.
Ferreira, Bruno L M +2 more
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Advanced Functional Materials, EarlyView.This paper presents a digital microfluidics‐based technique for transferring and reconfiguring soft nanomembranes. Laser‐machined nanothin membranes are picked up, transported, and aligned via tailored surface tension and the actuation of water droplets, enabling the development of flexible electronics, the integration of functional materials on 3D ...
Quang Anh Nguyen +15 more
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A note on derivations in semiprime rings
International Journal of Mathematics and Mathematical Sciences, 2005 We prove in this note the following result. Let n>1 be an integer and let R be an n!-torsion-free semiprime ring with identity element. Suppose that there exists an additive mapping D:R→R such that D(xn)=∑j=1nxn−jD(x)xj−1 is fulfilled for all x∈R.
Joso Vukman, Irena Kosi-Ulbl
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