Results 41 to 50 of about 4,654,602 (342)
Jordan derivations on semiprime rings [PDF]
Proceedings of the American Mathematical Society, 1988 I. N. Herstein has proved that any Jordan derivation on a 2 2 -torsion free prime ring is a derivation. In this paper we prove that Herstein’s result is true in 2 2 -torsion free semiprime rings. This result makes it possible for us to prove that any linear Jordan derivation on a semisimple Banach algebra is continuous,
openaire +2 more sources
On Jordan Triple Derivations and Related Mappings [PDF]
Mediterranean Journal of Mathematics, 2008 In this article we study certain functional equations and systems of functional equations related to (generalized) derivations on semiprime rings. In particular, we prove that any generalized Jordan triple derivation on a 2-torsion free semiprime ring is a generalized derivation.
Maja Fošner, Dijana Ilišević
openaire +3 more sources
On Jordan mappings of inverse semirings
Open Mathematics, 2017 In this paper, the notions of Jordan homomorphism and Jordan derivation of inverse semirings are introduced. A few results of Herstein and Brešar on Jordan homomorphisms and Jordan derivations of rings are generalized in the setting of inverse semirings.
Shafiq Sara, Aslam Muhammad
doaj +1 more source
Jordan and Jordan higher all-derivable points of some algebras [PDF]
Linear and Multilinear Algebra, 2013 In this paper, we characterize Jordan derivable mappings in terms of Peirce decomposition and determine Jordan all-derivable points for some general bimodules. Then we generalize the results to the case of Jordan higher derivable mappings. An immediate application of our main results shows that for a nest $\mathcal{N}$ on a Banach $X$ with the ...
Zhidong Pan, Qihua Shen, Jiankui Li
openaire +3 more sources
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
doaj +1 more source
On Generalized Left Derivation on Semiprime Rings [PDF]
Engineering and Technology Journal, 2016 Let R be a 2-torsion free semiprime ring. If R admits a generalizedleft derivation F associated with Jordan left derivation d, then R is commutative, if any one of the following conditions hold: (1) [d(x), F(y)] [x, y], (2) [d(x), F(y)] xoy, (3) d(x ...
A. Majeed, Shaima,a Yass, a B. Yass
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
A theorem on the derivations of Jordan algebras [PDF]
Proceedings of the American Mathematical Society, 1951 The restriction on the dimensionality of the simple components arises from the fact that the (3-dimensional) central simple Jordan algebra of all 2 X 2 symmetric matrices has for its derivation algebra the abelian Lie algebra of dimension 1. However, most simple Jordan algebras over F have simple derivation algebras, and all except those of dimension 3
openaire +1 more source
Advanced Materials Interfaces, EarlyView.In this work, wide‐field (>1 mm2) frequency‐domain thermoreflectance (FDTR) hyperspectral imaging is used to image subsurface indium bump bonds 50 µm below the surface. Thermal analysis with Monte Carlo uncertainty propagation is used to evaluate bump quality, while a trained deep neural network (can rapidly reconstruct bump geometry contact area maps.
Amun Jarzembski +10 more
wiley +1 more source