Results 51 to 60 of about 63,127 (261)
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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FEBS Open Bio, EarlyView.Repair of neuronal DNA damage in Alzheimer's disease by KCL‐286. (A) Amyloid‐β oligomers and plaques impair neuronal DNA repair pathways, leading to DNA double‐strand breaks and glial activation. (B) KCL‐286 activates RARβ/RXR signalling via retinoic acid response elements (RAREs), associated with increased BRCA1 expression, enhanced DNA repair and ...
Natasha Hill +6 more
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On the dimension of the product $[L_2,L_2,L_1]$ in free Lie algebras [PDF]
International Journal of Group Theory, 2018 Let $L$ be a free Lie algebra of rank $rgeq2$ over a field $F$ and let $L_n$ denote the degree $n$ homogeneous component of $L$. By using the dimensions of the corresponding homogeneous and fine homogeneous components of the second derived ideal of ...
Nil Mansuroğlu
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Primary ideals of Lie algebras
, 2021 Let L be a not necessarily finite dimensional Lie algebra. The popular concepts of prime and primary ideals in ring theory were introduced in Lie algebras by \textit{N. Kawamoto} [Hiroshima Math. J. 4, 679--684 (1974; Zbl 0303.17008)] and \textit{F. Aldosray} [The ideal and subideal structure of Lie algebras. University of Warwick (PhD Thesis) (1984)].
Ashour, Arwa +2 more
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Heterotropic regulation and negative homotropic cooperativity
FEBS Open Bio, EarlyView.We identified a structural module common to some proteins that couple negative cooperativity with heterotropic regulation, two features that rarely coexist. These proteins are ring‐like and present an ordered asymmetry whereby noncontacting subunits are symmetric, and their tertiary structure differs from that of contacting subunits.
Veronica Morea +5 more
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Chronobiology of Cancer: How Aging Fuels Oncogenesis at the Molecular Level
Aging and Cancer, EarlyView.This graphical abstract illustrates the key biological pathways linking aging with cancer development and progression. In the upper left, cumulative exposure to ultraviolet radiation, toxins, and reactive oxygen species (ROS) causes DNA damage and genomic instability, whereas age‐related decline in repair mechanisms, such as ATM/ATR, BER, and NER ...
Anu Singh, Aroonima Misra, Sufian Zaheer
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New Directions for Adult and Continuing Education, EarlyView.ABSTRACT This article examines the evolving role of organizational leadership amidst the rapid advancements in artificial intelligence (AI). It explores a broadly experienced and documented crisis in leadership, due in part to the disruptive nature of AI and emerging technology.
Rachel Wlodarsky, Davin Carr Chellman
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INTUITIONISTIC FUZZY LIE IDEALS OF LIE ALGERBAS
Honam Mathematical Journal, 2007 The notion of intuitionistic fuzzy Lie ideal of a Lie algebra is introduced, and related properties are investigated. Characterizations of an intuitionistic fuzzy Lie ideal are provided. Using a collection of Lie ideals, an intuitionistic fuzzy Lie ideal is established.
Young-Bae Jun, Chul-Hwan Park
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Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Background Cognitive impairment is a common non‐motor symptom in Multiple Sclerosis (MS), negatively affecting autonomy and Quality of Life (QoL). Innovative rehabilitation strategies, such as semi‐immersive virtual reality (VR) and computerized cognitive training (CCT), may offer advantages over traditional cognitive rehabilitation (TCR ...
Maria Grazia Maggio +8 more
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Realization of locally extended affine Lie algebras of type $A_1$ [PDF]
Categories and General Algebraic Structures with Applications, 2016 Locally extended affine Lie algebras were introduced by Morita and Yoshii in [J. Algebra 301(1) (2006), 59-81] as a natural generalization of extended affine Lie algebras.
Gholamreza Behboodi
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