Results 1 to 10 of about 4,654,602 (342)
On generalized Jordan ∗-derivation in rings
Journal of the Egyptian Mathematical Society, 2014 Let n ⩾ 1 be a fixed integer and let R be an (n + 1)!-torsion free ∗-ring with identity element e. If F, d:R → R are two additive mappings satisfying F(xn+1) = F(x)(x∗)n + xd(x)(x∗)n−1 + x2d(x)(x∗)n−2+ ⋯ +xnd(x) for all x ∈ R, then d is a Jordan ...
Nadeem ur Rehman +2 more
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Jordan's Derivation of Blackbody Fluctuations [PDF]
Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics, 2017 The celebrated Dreimännerarbeit by Born, Heisenberg and Jordan contains a matrix-mechanical derivation by Jordan of Planck’s formula for blackbody fluctuations. Jordan appears to have considered this to be one of his finest contributions to quantum theory, but the status of his derivation is puzzling.
G. Bacciagaluppi +2 more
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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.
M. Eshaghi Gordji, N. Ghobadipour
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Jordan Derivations of Incidence Algebras [PDF]
Rocky Mountain Journal of Mathematics, 2014 8 pages, to appear in Rocky Mountain J ...
Zhankui Xiao
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Jordan derivations of triangular algebras
Linear Algebra and its Applications, 2006 AbstractIn this note, it is shown that every Jordan derivation of triangular algebras is a derivation.
Zhang Jian-hua, Weiyan Yu
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The range of a derivation on a Jordan–Banach algebra [PDF]
, 2001 The questions when a derivation on a Jordan{Banach algebra has quasi- nilpotent values, and when it has the range in the radical, are discussed.
Matej Brešar, A. R. Villena
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Notes on generalized Jordan ( \sigma,\tau) *-derivations of semiprime rings with involution
Boletim da Sociedade Paranaense de Matemática, 2014 Let R be a 6-torsion free semiprime *-ring, \tau an endomorphism of R, \sigam an epimorphism of R and f : R ! R an additive mapping. In this paper we proved the following result: f is a generalized Jordan ( \sigma,\tau) *-¡derivation if and only if f ...
Shuliang Huang, Emine Koç
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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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Nonlinear generalized Jordan (σ, Γ)-derivations on triangular algebras
Special Matrices, 2018 Let R be a commutative ring with identity element, A and B be unital algebras over R and let M be (A,B)-bimodule which is faithful as a left A-module and also faithful as a right B-module.
Alkenani Ahmad N. +2 more
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Jordan *-derivation pairs on a complex *-algebra
Aequationes Mathematicae, 1996 The aim of this paper is to study the system of functional equations $$\begin{gathered} E(x^3 ) = E(x)x*^2 + xF(x)x* + x^2 E(x) \hfill \\ F(x^3 ) = F(x)x*^2 + xE(x)x* + x^2 F(x) \hfill \\ \end{gathered} $$ , whereOpen image in new window is a complex *-algebra andOpen image in new window are unknown additive functions.
L. Molnár
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