Results 11 to 20 of about 4,914,484 (359)
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
doaj +3 more sources
Derivations of the Cheng-Kac Jordan superalgebras [PDF]
arXiv, 2011 The derivations of the Cheng-Kac Jordan superalgebras are studied. It is shown that, assuming -1 is a square in the ground field, the Lie superalgebra of derivations of a Cheng-Kac Jordan superalgebra is isomorphic to the Lie superalgebra obtained from a simpler Jordan superalgebra (a Kantor double superalgebra of vector type) by means of the Tits ...
Alberto Elduque +2 more
arxiv +4 more sources
On Jordan Derivations of Triangular Algebras [PDF]
arXiv, 2007 In this short note we prove that every Jordan derivation of triangular algebras is a derivation.
Cheng, Xuehan, Jing, Wu
arxiv +3 more sources
Generalized derivations of Hom-Jordan algebras [PDF]
arXiv, 2019 In this paper, we give some properties of generalized derivation algebras of Hom-Jordan algebras. In particular, we show that $GDer(V) = QDer(V) + QC(V)$, the sum of the quasiderivation algebra and the quasicentroid. We also prove that $QDer(V)$ can be embedded as derivations into a larger Hom-Jordan algebra.
Chenrui Yao, Yao Ma, Liangyun Chen
arxiv +3 more sources
Hyperstability of Jordan triple derivations on Banach algebras [PDF]
arXiv, 2015 In this article, it is proved that a functional equation of (linear) Jordan triple derivations on unital Banach algebras under quite natural and simple assumptions is hyperstable. It is also shown that under some mild conditions approximate Jordan triple derivations on unital semiprime Banach algebras are (linear) derivations.
Sang Og Kim, Abasalt Bodaghi
arxiv +3 more sources
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
openaire +3 more sources
, 2020 Let T = T (n1,n2, · · · ,nk) ⊆ Mn(C ) be a block upper triangular matrix algebra and let M be a 2-torsion free unital T -bimodule, where C is a commutative ring. Let Δ : T →M be a C -linear map. We show that if Δ(X)Y +XΔ(Y)+Δ(Y)X +YΔ(X) = 0 whenever X ,Y
Hoger Ghahramani +2 more
openalex +2 more sources
Quadratic functionals and Jordan *-derivations [PDF]
Studia Mathematica, 1990 Peter Šemrl
openalex +3 more sources
Derivations on Jordan-Banach algebras [PDF]
Studia Mathematica, 1996 A. R. Villena
openalex +3 more sources
ON CENTRALLY EXTENDED JORDAN DERIVATIONS AND RELATED MAPS IN RINGS [PDF]
Hacettepe Journal of Mathematics and Statistics, 2022 Let $R$ be a ring and $Z(R)$ be the center of $R.$ The aim of this paper is to define the notions of centrally extended Jordan derivations and centrally extended Jordan $\ast$-derivations, and to prove some results involving these mappings. Precisely, we
Bharat Bhushan +3 more
semanticscholar +1 more source