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The Unipotency of Linear Groups Generated by Matrices with No More than Five Jorden Blocks
Aiming at the question whether the group generated by two unipotent matrices whose Jordan blocks are of order no more than five is a unipotent group, based on the fundamental definition of nilpotent matrix, we use the matrix logarithm tool to obtain some
YANG Xin-song, LI Jia-xin
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On the structure of Jordan *-derivations [PDF]
Let \(\mathbb{R}\) be a \(*\)-ring. An additive mapping \(E:\mathbb{R}\to\mathbb{R}\) is called a Jordan \(*\)-derivation if \[ E(x^ 2)= E(x)x^*+ xE(x) \qquad \text{for all } x\in\mathbb{R}. \] Examples of such mappings are given by \(x\to ax^*-xa\), \(a\) is a fixed element of \(\mathbb{R}\), which are called inner Jordan \(*\)-derivations.
Brešar, Matej, Zalar, Borut
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Ultrasoft silicone elastomers often sacrifice surface functionality for mechanical compliance. In Mold Star, low‐molecular‐weight species form a dispersed phase that weakens the network and passivates the surface. Solvent extraction removes this phase, unexpectedly improving both extensibility and metallization performance, enabling conductive ...
Gloria M. D'Amaral +7 more
wiley +1 more source
NMR screening is a powerful method for hit detection in drug‐discovery. We designed and validated the OpenFL600 19F$^{19}{\rm F}$ NMR library to probe diverse targets, including RNA, GPCRs, kinases, and proteases. This library yields target‐specific ligands without generating promiscuous binders.
Simon H. Rüdisser +16 more
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A note on derivations in semiprime rings
We prove in this note the following result. Let n>1 be an integer and let R be an n!-torsion-free semiprime ring with identity element. Suppose that there exists an additive mapping D:R→R such that D(xn)=∑j=1nxn−jD(x)xj−1 is fulfilled for all x∈R.
Joso Vukman, Irena Kosi-Ulbl
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Nonlinear Skew Lie-Type Derivations on ∗-Algebra
Let A be a unital ∗-algebra over the complex fields C. For any H1,H2∈A, a product [H1,H2]•=H1H2−H2H1* is called the skew Lie product. In this article, it is shown that if a map ξ : A→A (not necessarily linear) satisfies ξ(Pn(H1,H2,…,Hn))=∑i=1nPn(H1,…,Hi ...
Md Arshad Madni +2 more
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Generalized Derivations and Bilocal Jordan Derivations of Nest Algebras [PDF]
Let H be a complex Hilbert space and B(H) the collection of all linear bounded operators, 𝔄 is the closed subspace lattice including 0 an H, then 𝔄 is a nest, accordingly alg 𝔄 = {T ∈ B(H) : TN⊆N, ∀ N ∈ 𝔄} is a nest algebra. It will be shown that of nest algebra, generalized derivations are generalized inner derivations, and bilocal Jordan ...
Dangui Yan, Chengchang Zhang
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In Situ Amine Formation to Modulate MOF‐Derived PdIn N‐Doped Carbon Catalysts
An amine‐assisted approach converts PdIn‐MOF into PdIn intermetallic nanoparticles embedded in N‐doped carbon. In situ‐generated amines trigger early Pd nucleation, producing smaller PdIn domains than direct pyrolysis. Amine sterics and basicity tune composition and particle size, while solvent and amine co‐determine textural features.
Gonzalo Egea +9 more
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Jordan and Jordan higher all-derivable points of some algebras [PDF]
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 ...
Li, Jiankui, Pan, Zhidong, Shen, Qihua
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Protein Corona Formation on Soft Nanocarriers Under Biomimetic Circulatory Flow
A biomimetic venous circulation system is developed to study protein corona formation on soft nanocarriers under physiological shear. Liposomes, PLGA nanoparticles, and lipid‐polymer hybrid nanoparticles acquire largely shared but material‐dependent protein coronas that alter surface properties and suppress cellular uptake, highlighting the importance ...
Anamarija Nikoletić +7 more
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