Results 111 to 120 of about 5,953,085 (343)
Generalized derivations as homomorphisms or anti-homomorphisms on Lie ideals
Arab Journal of Mathematical Sciences, 2016 Let R be a prime ring of char(R)≠2, Z the center of R, and L a nonzero Lie ideal of R. If R admits a generalized derivation F associated with a derivation d which acts as a homomorphism or as anti-homomorphism on L, then either d=0 or L⊆Z.
Nadeem ur Rehman, Mohd Arif Raza
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Dynamic Precipitation during High‐Pressure Torsion of a Magnesium–Manganese Alloy
Advanced Engineering Materials, EarlyView.An ultrafine‐grained alloy is produced by high‐pressure torsion of solutionized Mg–1.35 wt% Mn. Precipitation of nanometer‐scale Mn particles during deformation provides pinning sites. This prevents the formation of a bimodal grain structure and results in a finer grain size than for pure Mg.
Julian M. Rosalie, Anton Hohenwarter
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Characterization of Multiplicative Lie Triple Derivations on Rings
Abstract and Applied Analysis, 2014 Let R be a ring having unit 1. Denote by ZR the center of R. Assume that the characteristic of R is not 2 and there is an idempotent element e∈R such that aRe=0⇒a=0 and aR1-e=0⇒a=0.
Xiaofei Qi
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Advanced Engineering Materials, EarlyView.Predicting extreme defects in additive manufacturing remains a key challenge limiting its structural reliability. This study proposes a statistical framework that integrates Extreme Value Theory with advanced process indicators to explore defect–process relationships and improve the estimation of critical defect sizes. The approach provides a basis for
Muhammad Muteeb Butt +8 more
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On a conjecture on transposed Poisson n-Lie algebras
AIMS MathematicsThe notion of a transposed Poisson $ n $-Lie algebra has been developed as a natural generalization of a transposed Poisson algebra. It was conjectured that a transposed Poisson $ n $-Lie algebra with a derivation gives rise to a transposed Poisson $ (n ...
Junyuan Huang +3 more
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Generalized Derivations of Lie Algebras
Journal of Algebra, 2000 Let \(L\) be a finite dimensional Lie algebra with multiplication given by \(\mu\). The authors study the generalized derivations of \(L\), \(\text{GenDer}(L)\), consisting of the elements \(f\in\Hom(L,L)\) such that there exist \(f',f''\in\Hom(L,L)\) satisfying \(\mu(f(x),y)+\mu(x,f'(y))=f''(\mu(x,y))\) for all \(x,y\in L\).
Leger, George F., Luks, Eugene M.
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Advanced Engineering Materials, EarlyView.This study reports the fabrication of trabecular bioactive glass scaffolds (composition “1d”: 46.1SiO2‐28.7CaO‐8.8MgO‐6.2P2O5‐5.7CaF2‐4.5Na2O wt%) through vat photopolymerization and the relevant results from mechanical testing and in vivo implantation procedures in rabbit femora, showing great promise for bone tissue engineering applications.
Dilshat Tulyaganov +8 more
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Generalized Lie derivations of unital algebras with idempotents
, 2018 Let A be a unital algebra with a nontrivial idempotent e over a unital commutative ring R . We show that under suitable assumptions every generalized Lie n -derivation F : A → A is of the form F(x) = λx+ Δ(x) , where λ ∈ Z(A ) and Δ is a Lie n ...
Dominik Benkovič
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Advanced Engineering Materials, EarlyView.This article presents a solver‐agnostic domain‐specific language (DSL) for computational structural mechanics that strengthens interoperability in virtual product development. Using a hierarchical data model, the DSL enables seamless exchange between diverse simulation tools and numerical methods.
Martin Rädel +3 more
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On n-Derivations and n-Homomorphisms in Perfect Lie Superalgebras
MathematicsLet n≥2 be a fixed integer. The aim of this paper is to investigate the properties of n-derivations within the framework of perfect Lie superalgebras over a commutative ring R. The main result shows that if the base ring contains 1n−1, and L is a perfect
Shakir Ali +3 more
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