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Nearly generalized Jordan derivations [PDF]
Mathematica Slovaca, 2011 Abstract Let A be an algebra and let X be an A-bimodule. A ∂-linear mapping d: A → X is called a generalized Jordan derivation if there exists a Jordan derivation (in the usual sense) δ: A → X such that d(a 2) = ad(a)+δ(a)a for all a ∈ A.
Eshaghi Gordji, M., Ghobadipour, N.
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Weak $ (p, q) $-Jordan centralizer and derivation on rings and algebras
AIMS MathematicsIn the present paper, the authors discuss two new concepts that will be known as a weak $ (p, q) $-Jordan centralizer and a weak $ (p, q) $-Jordan derivation on an arbitrary ring $ R $ and they prove that every weak $ (p, q) $-Jordan derivation is a ...
Faiza Shujat +2 more
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On Jordan triple (σ,τ)-higher derivation of triangular algebra
Special Matrices, 2018 Let R be a commutative ring with unity, A = Tri(A,M,B) be a triangular algebra consisting of unital algebras A,B and (A,B)-bimodule M which is faithful as a left A-module and also as a right B-module.
Ashraf Mohammad +2 more
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On Higher N-Derivation Of Prime Rings
مجلة بغداد للعلوم, 2014 The main purpose of this work is to introduce the concept of higher N-derivation and study this concept into 2-torsion free prime ring we proved that:Let R be a prime ring of char.
Baghdad Science Journal
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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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Some conditions under which Jordan derivations are zero
Journal of Taibah University for Science, 2017 In the current article, we obtain the following results: Let A be an algebra and P be a semi-prime ideal of A. Suppose that d:Aâ(A/P) is a Jordan derivation such that dim{d(a)|aâA}â¤1. If d(P)={0}, then d is zero.
Z. Jokar, A. Hosseini, A. Niknam
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Maps on $ C^\ast $-algebras are skew Lie triple derivations or homomorphisms at one point
AIMS Mathematics, 2023 In this paper, we show that every continuous linear map between unital $ C^\ast $-algebras is skew Lie triple derivable at the identity is a $ \ast $-derivation and that every continuous linear map between unital $ C^\ast $-algebras which is a skew Lie ...
Zhonghua Wang, Xiuhai Fei
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Boundedness of completely additive measures with application to 2-local triple derivations
, 2015 We prove a Jordan version of Dorofeev's boundedness theorem for completely additive measues and use it to show that every (not necessarily linear nor continuous) 2-local triple derivation on a continuous JBW*-triple is a triple derivation.Comment: 30 ...
Antonio M. Peralta +12 more
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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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Characterization of (α,β) Jordan bi-derivations in prime rings
AIMS MathematicsLet $ \mathfrak{S} $ be a prime ring with automorphisms $ \alpha, \beta $. A bi-additive map $ \mathfrak{D} $ is called an ($ \alpha, \beta $) Jordan bi-derivation if $ \mathfrak{D}(k^2, s) = \mathfrak{D}(k, s)\alpha(k) + \beta(k) \mathfrak{D}(k, s) $.
Wasim Ahmed +2 more
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