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Modeling Missing at Random Neuropsychological Test Scores Using a Mixture of Binomial Product Experts. [PDF]
Suen D, Chen YC.
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A neuronal least-action principle for real-time learning in cortical circuits. [PDF]
Senn W +7 more
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Controlling worm propagation in wireless sensor networks: Through fractal-fractional mathematical perspectives. [PDF]
Shah MI +5 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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Characterizations of Jordan derivations and Jordan homomorphisms
Linear and Multilinear Algebra, 2011Let 𝒜 be a unital Banach algebra and ℳ be a unital 𝒜-bimodule. We show that if δ is a linear mapping from 𝒜 into ℳ satisfying δ(ST) = δ(S)T +Sδ(T) for any S, T ∈ 𝒜 with ST = W, where W is a left or right separating point of ℳ, then δ is a Jordan derivation.
Jiankui Li, Jiren Zhou
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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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Derivations on Banach-Jordan Pairs
The Quarterly Journal of Mathematics, 2001A classical topic in the theory of Banach structures is the automatical continuity of derivations. From 1968, when Johnson and Sinclair proved the continuity of derivations acting on semisimple associative Banach algebras, until now, several algebraic conditions on a Banach algebra \(A\) which ensure the continuity of its derivations have been ...
Fernández López, A. +2 more
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