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Nonlinear Left η-∗-Jordan n-Derivations on ∗-Algebras

Axioms
Let A be a ∗-algebra with the unit I and a nontrivial projection P. Assume that A satisfies the condition that XAP=0 implies X=0 and XA(I−P)=0 implies X=0. Let η be a nonzero complex number. For any A,B∈A, the left η-Jordan ∗-product is defined by A◊ηB=A∗
Shengsheng Wu, Quanyuan Chen, Rundong Zheng   +2 more
doaj   +1 more source

Central Nervous System Tumors Among Infants in Canada: A Report From CYP‐C

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background Central nervous system (CNS) tumors in infants are rare, pose unique clinical challenges, and lack large‐scale evidence‐based data to guide management. This study seeks to describe CNS tumors in Canadian infants and to compare their outcomes with those of older children.
Samuel Sassine, Hallie Coltin, Sylvia Cheng, Lucie Lafay‐Cousin, Vanan Issai Magimairajan, Craig Erker, Stéphanie Vairy, Lynette Bowes, Adam Fleming, Donna Johnston, Sarah McKillop, Roona Sinha, Julie Bennett, Christina Coleman, Laura Wheaton, Shayna Zelcer, Samuele Renzi, Thai Hoa Tran   +17 more
wiley   +1 more source

Nonlinear Mixed Left Bi-Skew Jordan and Right Jordan-Type Derivations on ∗-Algebra

Mathematics
Consider a unital ∗-algebra A defined over the complex field C. In this work, we establish that a mapping, referred to as a nonlinear mixed left bi-skew Jordan and right Jordan n-derivation, reduces to an additive ∗-derivation under certain conditions ...
Amal S. Alali, Md Arshad Madni
doaj   +1 more source

Characterizations of Nonlinear Lie Derivations of B(X)

Abstract and Applied Analysis, 2013
Let X be an infinite dimensional Banach space, and Φ:B(X)→B(X) is a nonlinear Lie derivation. Then Φ is the form δ+τ where δ is an additive derivation of B(X) and τ is a map from B(X) into its center ZB(X), which maps commutators into the zero.
Donghua Huo, Baodong Zheng, Hongyu Liu
doaj   +1 more source

Comparative Drug Response Profiling in Neuroblastoma Cell Lines and Patient‐Derived Tumor Organoids

Pediatric Blood &Cancer, EarlyView.
ABSTRACT High‐risk neuroblastoma remains a leading cause of pediatric cancer mortality, and improved preclinical models are needed to guide therapeutic developments. We screened seven high‐risk neuroblastoma cell lines and three patient‐derived tumor organoids with 528 compounds alongside bone marrow controls, and compared them with external datasets ...
Krzysztof Wierbiłowicz, Se Whee Sammy Park, Aironas Los, Ernest Liu, Nona Struyf, Tom Erkers, Sören Lehmann, Jan J. Molenaar, Jakob Stenman, Olli Kallioniemi, Päivi Östling, Brinton Seashore‐Ludlow, Kasper Karlsson   +12 more
wiley   +1 more source

The SquAd derivation: A Square Additive approach to the turbulent Prandtl number

Open Research Europe, 2023
Liquid metals have been chosen as primary coolant of innovative nuclear systems under current development. They present a very high thermal conductivity and hence a very low molecular Prandtl number. This feature challenges the modeling
Vincent Moreau
doaj   +1 more source

Language, Culture, and Cancer: Qualitative Insights Into Communication Disparities Among Spanish‐Speaking Caregivers of Children With Cancer

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background Latino children are projected to make up nearly one‐third of United States (US) children by 2060, and many of their caregivers speak Spanish. Prior survey research has documented communication difficulties for Spanish‐speaking caregivers of children with cancer, but contemporary qualitative data are limited.
Jenny Ruiz, Alejandra Curbelo‐Paz, Sonia Morales, Elizabeth Contreras, Amy Houtrow, Scott H. Maurer, Judy C. Chang   +6 more
wiley   +1 more source

Generalized Derivations in Semiprime Gamma Rings

International Journal of Mathematics and Mathematical Sciences, 2012
Let M be a 2-torsion-free semiprime Γ-ring satisfying the condition aαbβc=aβbαc for all a,b,c∈M,  α,β∈Γ, and let D:M→M be an additive mapping such that D(xαx)=D(x)αx+xαd(x) for all x∈M,  α∈Γ and for some derivation d of M.
Kalyan Kumar Dey, Akhil Chandra Paul, Isamiddin S. Rakhimov   +2 more
doaj   +1 more source

REMARKS ON GENERALIZED DERIVATIONS IN ∗−PRIME RINGS [PDF]

Journal of Algebraic Systems
Let (R, ∗) be a ∗−prime ring with characteristic different from two, and L ̸= 0be a square closed ∗−Lie ideal of R. An additive mapping F : R −→ R is calleda generalized derivation on R if there exists a derivation d : R −→ R such thatF(xy) = F(x)y + xd ...
Radwan Al-omary
doaj   +1 more source

On Left s -Centralizers Of Jordan Ideals And Generalized Jordan Left (s ,t ) -Derivations Of Prime Rings [PDF]

Engineering and Technology Journal, 2011
In this paper we generalize the result of S. Ali and C. Heatinger on left s - centralizer of semiprime ring to Jordan ideal, we proved that if R is a 2-torsion free prime ring, U is a Jordan ideal of R and G is an additive mapping from R into itself ...
Abdulrahman H. Majeed, Anwar Khaleel Faraj   +1 more
doaj   +1 more source