Results 1 to 10 of about 4,914,484 (359)
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
doaj +4 more sources
Jordan Derivations and Lie derivations on Path Algebras [PDF]
arXiv, 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
arxiv +7 more sources
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.
Bacciagaluppi, G. +2 more
openaire +5 more sources
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
openalex +5 more sources
Jordan higher all-derivable points in triangular algebras [PDF]
arXiv, 2011 Let ${\mathcal{T}}$ be a triangular algebra. We say that $D=\{D_{n}: n\in N\}\subseteq L({\mathcal{T}})$ is a Jordan higher derivable mapping at $G$ if $D_{n}(ST+TS)=\sum_{i+j=n}(D_{i}(S)D_{j}(T)+D_{i}(T)D_{j}(S))$ for any $S,T\in {\mathcal{T}}$ with $ST=G$. An element $G\in {\mathcal{T}}$ is called a Jordan higher all-derivable point of ${\mathcal{T}}$
Jinping Zhao, Jun Zhu
arxiv +4 more sources
Jordan Derivations of Incidence Algebras [PDF]
Rocky Mountain Journal of Mathematics, 2014 8 pages, to appear in Rocky Mountain J ...
Zhankui Xiao
openalex +6 more sources
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
openalex +3 more sources
Jordan Derivations of some extension algebras [PDF]
arXiv, 2013 In this paper, we mainly study Jordan derivations of dual extension algebras and those of generalized one-point extension algebras. It is shown that every Jordan derivation of dual extension algebras is a derivation. As applications, we obtain that every Jordan generalized derivation and every generalized Jordan derivation on dual extension algebras ...
Yanbo Li, Feng Wei
arxiv +3 more sources
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
openalex +2 more sources
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
doaj +3 more sources