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Jordan semi-triple derivations and Jordan centralizers on generalized quaternion algebras
AIMS Mathematics, 2023 In this paper, we investigate Jordan semi-triple derivations and Jordan centralizers on generalized quaternion algebras over the field of real numbers. We prove that every Jordan semi-triple derivation on generalized quaternion algebras over the field of
Ai-qun Ma, Lin Chen, Zijie Qin
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Jordan automorphisms, Jordan derivations of generalized triangular matrix algebra [PDF]
International Journal of Mathematics and Mathematical Sciences, 2005 We investigate Jordan automorphisms and Jordan derivations of a class of algebras called generalized triangular matrix algebras. We prove that any Jordan automorphism on such an algebra is either an automorphism or an antiautomorphism and any Jordan ...
Aiat Hadj Ahmed Driss +1 more
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Local derivations on Jordan triples [PDF]
Bulletin of the London Mathematical Society, 2013 R.V. Kadison defined the notion of local derivation on an algebra and proved that every continuous local derivation on a von Neumann algebra is a derivation (Kadison 1990). We provide the analogous result in the setting of Jordan triples.
Michael Mackey
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Jordan derivations on semiprime rings [PDF]
Proceedings of the American Mathematical Society, 1988 I. N. Herstein has proved that any Jordan derivation on a 2 2 -torsion free prime ring is a derivation. In this paper we prove that Herstein’s result is true in 2 2 -torsion free semiprime rings. This result makes it possible for us to prove that any linear Jordan derivation on a semisimple Banach algebra is continuous,
Matej Brešar
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Generalized Jordan derivations on semiprime rings [PDF]
Journal of the Australian Mathematical Society, 2020 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.
Bruno Leonardo Macedo Ferreira
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Electronic Research Archive, 2023 In this note we proved that each nonlinear generalized semi-Jordan triple derivable mapping on completely distributive commutative subspace lattice algebras is an additive derivation.
Fei Ma +3 more
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Jordan Derivations and Lie derivations on Path Algebras [PDF]
Bulletin of the Iranian Mathematical Society, 2012 Without the faithful assumption, we prove that every Jordan derivation on a class of path algebras of quivers without oriented cycles is a derivation and that every Lie derivation on such kinds of algebras is of the standard form.
Yanbo Li, Feng Wei
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Higher Jordan triple derivations on ∗-type trivial extension algebras
AIMS MathematicsIn this paper, we investigated the problem of describing the form of higher Jordan triple derivations on trivial extension algebras. We show that every higher Jordan triple derivation on a $ 2 $-torsion free $ * $-type trivial extension algebra is a sum ...
Xiuhai Fei +3 more
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Derivations of Jordan algebras [PDF]
Pacific Journal of Mathematics, 1959 Bruno Harris
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On Functional Inequalities Originating from Module Jordan Left Derivations
Journal of Inequalities and Applications, 2008 We first examine the generalized Hyers-Ulam stability of functional inequality associated with module Jordan left derivation (resp., module Jordan derivation). Secondly, we study the functional inequality with linear Jordan left derivation (resp., linear
Ick-Soon Chang +2 more
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