Results 61 to 70 of about 79,501 (322)
A note on derivations in semiprime rings
International Journal of Mathematics and Mathematical Sciences, 2005 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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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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Bioinspired Tissue Transparency: Achieving Sclera‐to‐Cornea Transplantation
Advanced Science, EarlyView.A bioinspired decellularization‐compression‐locking tactic (DCLT) is developed to transform human sclerae into transparent corneal substitutes. These clear, robust, and pro‐regenerative substitutes are capable of repairing complex corneal injuries, including chemical burns, keratoconus, and penetrating wounds, demonstrating their clinical potential to ...
Xiuli Sun +8 more
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Scrambling‐Enhanced Quantum Battery Charging in Black Hole Analogues
Advanced Science, EarlyView.By employing a black‐hole‐analog quantum battery constructed from a position‐dependent XY model, its dynamical behavior is investigated through a quench of the scrambling parameter. It is systematically quantified that how the simulated scrambling improves key performance metrics‐namely, stored energy, peak power, and charging time‐thereby offering a ...
Zhilong Liu +3 more
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The Unipotency of Linear Groups Generated by Matrices with No More than Five Jorden Blocks
Journal of Harbin University of Science and Technology, 2022 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 JORDAN IDEALS AND JORDAN DERIVATIONS OF PRIME RINGS
Demonstratio Mathematica, 2004 A classical result by \textit{I. N. Herstein} [Proc. Am. Math. Soc. 8, 1104-1110 (1958; Zbl 0216.07202)] states that a Jordan derivation of a prime ring of characteristic not 2 is a derivation. The main result of the paper shows that the same is true on Jordan ideals of prime rings that are simultaneously subrings.
Ashraf, Mohammad, Nadeem-ur-Rehman
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Nonlinear Mixed Jordan Triple $ * $-Derivations on $ * $-Algebras
Siberian Mathematical Journal, 2022 Let $\mathcal {A}$ be a unital $\ast$-algebra. For $A, B\in\mathcal{A}$, define by $[A, B]_{*}=AB-BA^{\ast}$ and $A\bullet B=AB+BA^{\ast}$ the new products of $A$ and $B$. In this paper, under some mild conditions on $\mathcal {A}$, it is shown that a map $ :\mathcal {A}\rightarrow \mathcal {A}$ satisfies $ ([A\bullet B, C]_{*})=[ (A)\bullet B, C]_{*
C. Li, D. Zhang
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Import Wheat Tenders and the Effects of the Russian Invasion
Agribusiness, EarlyView.ABSTRACT Risk and volatility for many commodities escalated sharply following the Russian invasion of Ukraine, creating numerous uncertainties for trading firms and importers. The purpose of this study is to analyze the bidding behavior in Egyptian wheat import tenders in the pre‐ and post‐invasion periods.
William W. Wilson +2 more
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Nonlinear Skew Lie-Type Derivations on ∗-Algebra
Mathematics, 2023 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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Jordan *-derivations of standard operator algebras [PDF]
Proceedings of the American Mathematical Society, 1994 Let H H be a real or complex Hilbert space, dim H > 1 \dim H > 1 , and B ( H ) \mathcal {B}(H) the algebra of all bounded linear operators on H H .
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