Results 91 to 100 of about 5,953,085 (343)
Differential Operators and Differential Calculus on $delta-$Hom-Jordan-Lie Superalgebras
Introduction Hom-algebraic structures appeared first as a generalization of Lie algebras in [1,3], where the authors studied q-deformations of Witt and Virasoro algebras. A general study and construction of Hom-Lie algebras
Valiollah Khalili
doaj
Final version, 25 pages. Compared with v1, there was a conceptual reorganization based on a more general concept called the "alpha-derivative". The Darboux-Lie derivative is defined as a specific application of this more general concept. We added examples that show how classical Lie derivatives and covariant derivatives can be seen as special cases of ...
Antonio De Nicola, Ivan Yudin
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Lessons Learned: Quality Analysis of Optical Coherence Tomography in Neuromyelitis Optica
ABSTRACT Introduction Optical coherence tomography (OCT)‐derived retina measurements are markers for neuroaxonal visual pathway status. High‐quality OCT scans are essential for reliable measurements, but their acquisition is particularly challenging in eyes with severe visual impairment, as often observed in neuromyelitis optica spectrum disorders ...
Hadi Salih +40 more
wiley +1 more source
Frailty Exacerbates Disability in Progressive Multiple Sclerosis
ABSTRACT Background To evaluate frailty in severe progressive multiple sclerosis (PMS) and to investigate the underlying mechanisms. Methods This prospective, cross‐sectional, multicenter study enrolled a late severe PMS group requiring skilled nursing (n = 53) and an age, sex, and disease duration‐matched control PMS group (n = 53).
Taylor R. Wicks +10 more
wiley +1 more source
Lie derivations of incidence algebras
New references ...
Xian Zhang, Mykola Khrypchenko
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The McCance Brain Care Score and Mortality: Evidence From a Large‐Scale Population‐Based Cohort
ABSTRACT Objectives This study aimed to examine the relationship between the McCance Brain Care Score (BCS) and mortality in the general population. Methods We conducted a prospective, population‐based cohort study using data from the UK Biobank. Participants with complete data enabling calculation of BCS and full mortality information were included ...
Zhiqiang Xu, Xiaoxiao Wang, Nan Li
wiley +1 more source
Lie Derivations on Banach Algebras
A Lie derivation \(\Delta\) on a unital complex Banach algebra \(A\) is considered. The main result of the article is the following Theorem. Let \(D\) be a Lie derivation on a unital complex Banach algebra \(A\). Then for every primitive ideal \(P\) of \(A\), except for a finite set of them which have finite codimension greater than one, there exist a ...
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ABSTRACT Objective Accurate localization of epileptogenic tubers (ETs) in patients with tuberous sclerosis complex (TSC) is essential but challenging, as these tubers lack distinct pathological or genetic markers to differentiate them from other cortical tubers.
Tinghong Liu +11 more
wiley +1 more source
Multiplicative Lie triple higher derivations on generalized matrix algebras
Mohammad Ashraf +2 more
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Higher Derivations on Lie Ideals
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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