Results 81 to 90 of about 4,914,484 (359)
On derivations and Jordan derivations through zero products [PDF]
Operators and Matrices, 2014 Let $\A$ be a unital complex (Banach) algebra and $\M$ be a unital (Banach) $\A$-bimodule. The main results describe (continuous) derivations or Jordan derivations $D:\A\rightarrow \M$ through the action on zero products, under certain conditions on $\A$ and $\M$.
openaire +2 more sources
American Journal of Botany, EarlyView.Abstract Premise Asia's wet tropical forests face a severe biodiversity crisis, but few fossils record their evolutionary history. We recently discovered in situ cuticles on fossil leaves, attributed to the giant rainforest tree Dryobalanops of the iconic Dipterocarpaceae family, from the Plio‐Pleistocene of Brunei Darussalam (northern Borneo ...
Teng‐Xiang Wang +6 more
wiley +1 more source
A Class of Nonlinear Nonglobal Semi-Jordan Triple Derivable Mappings on Triangular Algebras
Journal of Mathematics, 2021 In this paper, we proved that each nonlinear nonglobal semi-Jordan triple derivable mapping on a 2-torsion free triangular algebra is an additive derivation.
Xiuhai Fei, Haifang Zhang
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Deformations of relative Rota-Baxter operators on Hom-Jacobi-Jordan algebras [PDF]
arXiv, 2023 Representations of Hom-Jacobi-Jordan algebras are studied. In particular, adjoint representations and trivial representations are studied in detail. Derivations and central extensions of Hom-Jacobi-Jordan algebras are also discussed as an application.
arxiv
Angewandte Chemie International Edition, Accepted Article.A series of tetrakisimidazolium salts bearing two di(phenylimidazolium)amine groups linked by differently substituted anthracenes has been prepared. These are H4‐1a(PF6)4 (anthracene bridge), H4‐1b(PF6)4 (phenyl‐anthracene‐phenyl bridge), H4‐1c(PF6)4 (anthracene‐phenyl bridge) and H4‐1d(PF6)4 (anthracene‐phenyl‐anthracene bridge). X‐ray crystallography
Guang-Feng Jin +3 more
wiley +1 more source
Data‐Driven Review on Aerogels and Polymeric Aerogels
Angewandte Chemie International Edition, Accepted Article.Thoroughly data‐driven review on chemistry–properties–applications of aerogels is provided. Aerogel is a category of solid materials having homogeneous, highly porous nanostructures. Unique physicochemical properties of aerogels have attracted much attention in wide fields due to their potentials for energy/environmental issues in the 21st century ...
Satoru Takeshita +2 more
wiley +1 more source
On certain functional equation in prime rings
Open Mathematics, 2022 The purpose of this paper is to prove the following result. Let RR be prime ring of characteristic different from two and three, and let F:R→RF:R\to R be an additive mapping satisfying the relation F(x3)=F(x2)x−xF(x)x+xF(x2)F\left({x}^{3})=F\left({x}^{2})
Fošner Maja +2 more
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Jordan and Jordan Higher All-derivable Points of Some Algebras [PDF]
arXiv, 2012 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 ...
arxiv
Jordan (α,β)-Derivations on Operator Algebras
Journal of Function Spaces, 2017 Let A be a CSL subalgebra of a von Neumann algebra acting on a Hilbert space H. It is shown that any Jordan (α,β)-derivation on A is an (α,β)-derivation, where α,β are any automorphisms on A. Moreover, the nth power (α,β)-maps on A are investigated.
Quanyuan Chen +2 more
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The image of Jordan left derivations on algebras
Boletim da Sociedade Paranaense de Matemática, 2019 Let A be an algebra, and let I be a semiprime ideal of A. Suppose that d : A → A is a Jordan left derivation such that d(I) ⊆ I. We prove that if dim{d(a)+I : a ⋲ A} ≤ 1, then d(A) ⊆ I. Additionally, we consider several consequences of this result.
Amin Hosseini, Ajda Fosner
doaj +1 more source