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Local and 2-Local Derivations of Locally Simple Lie Algebras
Современная математика: Фундаментальные направления, 2022 In the present paper, we study local and 2-local derivations of the classical locally simple Lie algebras. Firstly, we prove that every local and 2-local derivations on classical locally simple Lie algebra is a derivation.
Sh. A. Ayupov +2 more
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Characterization of 2-Local Derivations and Local Lie Derivations on Some Algebras
Siberian Mathematical Journal, 2018 We prove that every 2-local derivation from the algebra $M_n(\mathcal{A})(n>2)$ into its bimodule $M_n(\mathcal{M})$ is a derivation, where $\mathcal{A}$ is a unital Banach algebra and $\mathcal{M}$ is a unital $\mathcal{A}$-bimodule such that each Jordan derivation from $\mathcal{A}$ into $\mathcal{M}$ is an inner derivation, and that every 2-local
He, J., Li, J., An, G., Huang, W.
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A CHARACTERIZATION OF DERIVATIONS AND AUTOMORPHISMS ON SOME SIMPLE ALGEBRAS
Ural Mathematical Journal, 2022 In the present paper, we study simple algebras, which do not belong to the well-known classes of algebras (associative algebras, alternative algebras, Lie algebras, Jordan algebras, etc.).
Farhodjon Arzikulov +2 more
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An impulse-based derivation of the Kutta–Joukowsky equation for wind turbine thrust [PDF]
Wind Energy Science, 2021 Using the concept of impulse in control volume analysis, we derive general expressions for wind turbine thrust in a constant, spatially uniform wind. The absence of pressure in the impulse equations allows for their application in the near wake, where ...
E. J. Limacher, D. H. Wood
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Local derivations on Witt algebras [PDF]
Linear and Multilinear Algebra, 2020 In this paper, we prove that every local derivation on Witt algebras $W_n, W_n^+$ or $W_n^{++} $ is a derivation for any $n\in\mathbb{N}$. As a consequence, we obtain that every local derivation on a centerless generalized Virasoro algebra of higher rank is a derivation.
Chen, Yang +2 more
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Nonlinear Lie Triple Higher Derivations on Triangular Algebras by Local Actions: A New Perspective
Axioms, 2022 Let R be a commutative ring with unity and T be a triangular algebra over R. Let a sequence Δ={δn}n∈N of nonlinear mappings δn:T→T is a Lie triple higher derivation by local actions satisfying the equation.
Xinfeng Liang, Dandan Ren, Qingliu Li
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General Non-Local Continuum Mechanics: Derivation of Balance Equations
Mathematics, 2022 In this paper, mechanics of continuum with general form of nonlocality in space and time is considered. Some basic concepts of nonlocal continuum mechanics are discussed. General fractional calculus (GFC) and general fractional vector calculus (GFVC) are
Vasily E. Tarasov
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Scientific Reports, 2022 Using the braid symmetry we demonstrate the derivation of the Laughlin function for the main hierarchy 1/q of FQHE in the lowest Landau level of two-dimensional electron system with a mathematical rigour.
Janusz E. Jacak
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Super local edge anti-magic total coloring of paths and its derivation
Indonesian Journal of Combinatorics, 2020 Suppose G(V,E) be a connected simple graph and suppose u,v,x be vertices of graph G. A bijection f : V ∪ E → {1,2,3,...,|V (G)| + |E(G)|} is called super local edge antimagic total labeling if for any adjacent edges uv and vx, w(uv) 6= w(vx), which w(uv)
Fawwaz Fakhrurrozi Hadiputra +2 more
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Local derivations and local automorphisms
Journal of Mathematical Analysis and Applications, 2004 It is shown that if \({\mathcal L}\) is a completely distributive commutative subspace lattice or a \({\mathcal J}\)-subspace lattice on a complex separable Hilbert space \(H\), then the space of all bounded derivations of \(\text{alg}({\mathcal L})\) is reflexive.
Hadwin, Don, Li, Jiankui
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