Results 81 to 90 of about 367,084 (284)

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

Suppression of lung adenocarcinoma migration through organelle alkalization by human lactoferrin – albumin fusion

FEBS Open Bio, EarlyView.
This paper reveals how human lactoferrin–albumin fusion (hLF‐HSA) potently suppresses lung adenocarcinoma cell migration. hLF‐HSA upregulates NHE7, leading to Golgi alkalization, disruption of the Golgi secretome, downregulation of MMP1, and reversal of EMT. These findings suggest a novel Golgi‐targeting strategy to suppress cancer cell migration.
Hana Nopia, Masahiro Kimura, Daisuke Kurimoto, Atsushi Sato   +3 more
wiley   +1 more source

Action of multiplicative (generalized)-derivations and related maps on square closed Lie ideals in prime rings

Математичні Студії
Let $\mathcal{R}$ be a prime ring and $L$ a nonzero square closed Lie ideal of $\mathcal{R}$. Suppose $F,G,H\colon \mathcal{R}\to \mathcal{R}$\break are three multiplicative (generalized)-derivations associated with the maps $\delta,g, h\colon \mathcal{R}
B. Dhara
doaj   +1 more source

Identifying gene expression signatures for risk stratification of postoperative adjuvant chemotherapy in colorectal cancer

FEBS Open Bio, EarlyView.
A novel signature integrating genome‐wide analysis with clinical factors predicts recurrence in stage II colorectal cancer and enables a new risk stratification to guide postoperative adjuvant chemotherapy. Clinical risk stratification for postoperative recurrence in patients with pathological stage II (pStage II) colorectal cancer (CRC) is essential ...
Mayuko Otomo, Keisuke Okuno, Shuichi Watanabe, Sakiko Oba, Hiroyasu Kagawa, Masanori Tokunaga, Daisuke Ban, Yusuke Kinugasa   +7 more
wiley   +1 more source

Risk Prediction Models for Recurrence After Curative Treatment of Early‐Stage or Locally Advanced Lung Cancer: A Systematic Review

Aging and Cancer, EarlyView.
This systematic review synthesizes prognostic models for survival and recurrence in resected non‐small cell lung cancer. While many models demonstrate moderate to good discrimination, few are externally validated and reporting quality is variable, limiting clinical applicability and highlighting the need for robust, transparent model development ...
Evangeline Samuel, S. Tissera, E. Paul, J. Zalcberg, R. G. Stirling   +4 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

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

Norm Properties of $S$-Universal Operators

Communications in Advanced Mathematical Sciences, 2020
We investigate the norm properties of a generalized derivation on a norm ideal $\mathcal{J}$ in $\mathcal{B}(H)$, the algebra of bounded linear operators on a Hilbert space $H$.
Joshua Muholo, Job Bonyo
doaj  

Jordan automorphisms, Jordan derivations of generalized triangular matrix algebra

International Journal of Mathematics and Mathematical Sciences, 2005
We investigate Jordan automorphisms and Jordan derivations of a class of algebras called generalized triangular matrix algebras. We prove that any Jordan automorphism on such an algebra is either an automorphism or an antiautomorphism and any Jordan ...
Aiat Hadj Ahmed Driss, Ben Yakoub l'Moufadal   +1 more
doaj   +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