Results 101 to 110 of about 14,741 (268)
Lie Ideals and Homoderivations in Semiprime Rings
MathematicsLet S be a 2-torsion free semiprime ring and U be a noncentral square-closed Lie ideal of S. An additive mapping ℏ on S is defined as a homoderivation if ℏ(ab)=ℏ(a)ℏ(b)+ℏ(a)b+aℏ(a) for all a,b∈S. In the present paper, we shall prove that ℏ is a commuting
Ali Yahya Hummdi +4 more
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Higher Derivations on Lie Ideals
TEMA - Tendências em Matemática Aplicada e Computacional, 2002 Summary: We present a brief proof of a recently proved result [\textit{M. Ferrero} and \textit{C. Haetinger}, Quaest. Math. 25, No. 2, 249-257 (2002; Zbl 1009.16036), Corollary 1.4]. The main result states that if \(R\) is a prime ring of characteristic different from 2 and \(U\) is a Lie ideal of \(R\) where \(U\not\subset Z(R)\), the center of \(R\),
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Advanced Engineering Materials, EarlyView.A unified research data management framework for heterogeneous materials data is presented. The system integrates multimodal datasets using ontologies and knowledge graphs, enabling interoperability and FAIR (findable, accessible, interoperable, reusable) data principles. By linking data across scales and workflows, it supports reproducible, Artifitial
Doaa Mohamed +6 more
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Action of derivations on polynomials and on Jacobian derivations
Researches in MathematicsLet $\mathbb K$ be a field of characteristic zero, $A := \mathbb K[x_{1}, x_{2}]$ the polynomial ring and $W_2(\mathbb K)$ the Lie algebra of all $\mathbb K$-derivations on $A$. Every polynomial $f \in A$ defines a Jacobian derivation $D_f\in W_2(\mathbb
O.Ya. Kozachok, A.P. Petravchuk
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A Knowledge‐Based Approach for Understanding and Managing Additive Manufacturing Data
Advanced Engineering Materials, EarlyView.Additive manufacturing processes generate a large amount of data. Effectively managing, understanding, and retrieving information from this data remains a major challenge. Therefore, we propose an ontology‐based approach to integrate heterogeneous data, enable semantic queries, and support decision‐making.
Mina Abd Nikooie Pour +5 more
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Solving Quantum Dynamics with a Lie-Algebra Decoupling Method
PRX QuantumQuantum technologies rely on the control of quantum systems at the level of individual quanta. Mathematically, this control is described by Hamiltonian or Liouvillian evolution, requiring the application of various techniques to solve the resulting ...
Sofia Qvarfort, Igor Pikovski
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The derivation algebra and automorphism group of the electrical Lie algebra of type D5
上海师范大学学报. 自然科学版In this paper, we mainly investigate the derivation algebra and automorphism group of type D5 electrical Lie algebra. We prove that the outer derivations are four-dimensional, and the automorphism group Aut $\mathcal{L} \cong \mathbb{C}^* \ltimes\left ...
LI Zhiling, SHEN Ran
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On Derivations of Parabolic Lie Algebras
Journal of Lie Theory, 2017 Let $\mathfrak{g}$ be a reductive Lie algebra over an algebraically closed, characteristic zero field or over $\mathbb{R}$. Let $\mathfrak{q}$ be a parabolic subalgebra of $\mathfrak{g}$. We characterize the derivations of $\mathfrak{q}$ by decomposing the derivation algebra as the direct sum of two ideals: one of which being the image of the adjoint ...
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Advanced Engineering Materials, EarlyView.A simplified thermoplastic pultrusion model is developed to predict thermal fields in glass fiber/polyethylene terephthalate (GF/PET) composites with reduced computational cost. By combining effective material homogenization, validation against literature data, and Gaussian‐process‐based optimization, the study reveals how heating limits, pulling speed,
Elder Soares +3 more
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Star-products for Lie-algebraic noncommutative Minkowski space-times
Journal of High Energy PhysicsPoisson structures of the Poincaré group can be linked to deformations of the Minkowski space-time, classified some time ago by Zakrewski. Based on this classification, various quantum Minkowski space-times with coordinates Lie algebras and specific ...
Valentine Maris +2 more
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