Results 61 to 70 of about 28,002 (293)

Generalized Derivations in Rings and Their Applications to Banach Algebra

Mathematics
Let R be a prime ring, and let F denote a generalized derivation associated with a derivation d of R. Consider I as a nonzero ideal of R, and let m,n,k,l be fixed positive integers.
Amal S. Alali, Emine Koç Sögütcü, Zeliha Bedir, Nadeem ur Rehman   +3 more
doaj   +1 more source

Polarization‐resolved femtosecond Vis/IR spectroscopy tailored for resolving weak signals in biological samples using minimal sample volume

FEBS Open Bio, EarlyView.
Unique biological samples, such as site‐specific mutant proteins, are available only in limited quantities. Here, we present a polarization‐resolved transient infrared spectroscopy setup with referencing to improve signal‐to‐noise tailored towards tracing small signals. We provide an overview of characterizing the excitation conditions for polarization‐
Clark Zahn, Karsten Heyne
wiley   +1 more source

Stability and Superstability of Generalized (𝜃, 𝜙)-Derivations in Non-Archimedean Algebras: Fixed Point Theorem via the Additive Cauchy Functional Equation

Journal of Applied Mathematics, 2011
Let 𝐴 be an algebra, and let 𝜃, 𝜙 be ring automorphisms of 𝐴. An additive mapping 𝐻∶𝐴→𝐴 is called a (𝜃,𝜙)-derivation if 𝐻(𝑥𝑦)=𝐻(𝑥)𝜃(𝑦)+𝜙(𝑥)𝐻(𝑦) for all 𝑥,𝑦∈𝐴.
M. Eshaghi Gordji, M. B. Ghaemi, G. H. Kim, Badrkhan Alizadeh   +3 more
doaj   +1 more source

Differential regulation of ZFAS1 splice variants by endoplasmic reticulum stress in hepatocyte cell lines

FEBS Open Bio, EarlyView.
ZFAS1 is a lncRNA promoting cell proliferation and migration, exhibiting high expression in various cancers. It is conserved, widely expressed, and produces multiple splice variants with unclear roles. We identified several splice variants in hepatocyte models, and found that inhibiting or suppressing regulators of the unfolded protein response (PERK ...
Sébastien Soubeyrand, Paulina Lau, Ruth McPherson   +2 more
wiley   +1 more source

Lie Derivations on Generalized Matrix Algebras by Local Actions

Axioms
Let G=G(A,B,M,N) be a generalized matrix algebra. A linear map Δ:G→G is called a Lie derivation at E∈G if Δ([U,V])=[Δ(U),V]+[U,Δ(V)] for all pairs U,V∈G such that UV=E.
Jinhong Zhuang, Yanping Chen, Yijia Tan
doaj   +1 more source

Tracking Motor Progression and Device‐Aided Therapy Eligibility in Parkinson's Disease

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective To characterise the progression of motor symptoms and identify eligibility for device‐aided therapies in Parkinson's disease, using both the 5‐2‐1 criteria and a refined clinical definition, while examining differences across genetic subgroups.
David Ledingham, Sahana Sathyanarayana, Charlotte B. Stewart, Robyn Iredale, Victoria Foster, Debra Galley, Mark Baker, Nicola Pavese   +7 more
wiley   +1 more source

Network Localization of Fatigue in Multiple Sclerosis

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Background Fatigue is among the most common symptoms and one of the main factors determining the quality of life in multiple sclerosis (MS). However, the neurobiological mechanisms underlying fatigue are not fully understood. Here we studied lesion locations and their connections in individuals with MS, aiming to identify brain networks ...
Olli Likitalo, Jaakko Kungshamn, Albert Bellmunt‐Gil, Silvia Tommasin, Abhineet Ojha, Matias Viitala, Juho Aaltonen, Jyrki Lötjönen, Juha Koikkalainen, Pauli Ylikotila, Patrizia Pantano, Merja Soilu‐Hänninen, Juho Joutsa   +12 more
wiley   +1 more source

ON GENERALIZED ERIVATIONS OF SEMIPRIME NEAR-RINGS

Journal of Kufa for Mathematics and Computer, 2012
The  main purpose of this paper is to study and investigate concerning a generalized derivations on semiprime  near- rings,we give some results when N admsit to satisfy some conditions on 3-semiprime  near- rings and 3-prime near-ring N ,we give some
Mehsin Jabel Atteya, Dalal Ibraheem Resan   +1 more
doaj   +1 more source

Deep Learning–Assisted Differentiation of Four Peripheral Neuropathies Using Corneal Confocal Microscopy

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Peripheral neuropathies contribute to patient disability but may be diagnosed late or missed altogether due to late referral, limitation of current diagnostic methods and lack of specialized testing facilities. To address this clinical gap, we developed NeuropathAI, an interpretable deep learning–based multiclass classification ...
Chaima Ben Rabah, Ioannis N. Petropoulos, Mark Stettner, Maryam Ferdousi, Uazman Alam, Nathan Efron, Ahmed Serag, Rayaz A. Malik   +7 more
wiley   +1 more source

Generalized Hyers-Ulam Stability of Generalized (𝑁,𝐾)-Derivations

Abstract and Applied Analysis, 2009
Let 3≤𝑛, and 3≤𝑘≤𝑛 be positive integers. Let 𝐴 be an algebra and let 𝑋 be an 𝐴-bimodule. A ℂ-linear mapping 𝑑∶𝐴→𝑋 is called a generalized (𝑛,𝑘)-derivation if there exists a (𝑘−1)-derivation 𝛿∶𝐴→𝑋 such that 𝑑(𝑎1𝑎2⋯𝑎𝑛)=𝛿(𝑎1)𝑎2⋯𝑎𝑛+𝑎1𝛿(𝑎2)𝑎3⋯𝑎𝑛+⋯+𝑎1𝑎2⋯𝑎𝑘−2𝛿(
M. Eshaghi Gordji, J. M. Rassias, N. Ghobadipour   +2 more
doaj   +1 more source