Results 91 to 100 of about 4,914,484 (359)
The structure of simple noncommutative Jordan superalgebras [PDF]
In this paper we describe all subalgebras and automorphisms of simple noncommutative Jordan superalgebras $K_3(\alpha,\beta,\gamma)$ and $D_t(\alpha,\beta,\gamma)$ and compute the derivations of the nontrivial simple finite-dimensional noncommutative Jordan superalgebras.
arxiv +1 more source
On Jordan and Jordan*-generalized derivations in semiprime rings with involution
The purpose of this note is to prove the following result. Let R be a6 −torsion free semiprime *-ring and let G: R−→R be an additive mapping such that G(xyx )= G(x)y ∗ x ∗ + xD(y)x ∗ + xyD(x) holds for all x,y ∈ R and some *-derivations D of R. Then G is a Jordan*generalized derivation.
M. S. Tammam El-Sayiad, M. N. Daif
openaire +2 more sources
In this paper we study the noncommutative Jordan real division algebras of dimension 8, whose Lie derivation algebra is nontrivial and give an affirmative answer to a question posed by Benkart and Osborn.
A. Rochdi
semanticscholar +1 more source
Assessing the societal influence of academic research with ChatGPT: Impact case study evaluations
Abstract Academics and departments are sometimes judged by how their research has benefited society. For example, the UK's Research Excellence Framework (REF) assesses Impact Case Studies (ICSs), which are five‐page evidence‐based claims of societal impacts.
Kayvan Kousha, Mike Thelwall
wiley +1 more source
Lie triple derivation and Lie bi-derivation on quaternion rings
In this study, we prove the existence of the central Lie bi-derivation for the ring with identity on the quaternion ring. We also describe the triple Lie derivation using the Jordan derivation on the aforementioned ring.
Mohd Arif Raza+2 more
doaj +1 more source
Generalization of Herstein theorem and its applications to range inclusion problems
Let R be an associative ring. An additive mapping d:R→R is called a Jordan derivation if d(x2)=d(x)x+xd(x) holds for all x∈R. The objective of the present paper is to characterize a prime ring R which admits Jordan derivations d and g such that [d(xm),g ...
Shakir Ali+2 more
doaj +1 more source
ABSTRACT Numerical models are essential for comprehending intricate physical phenomena in different domains. To handle their complexity, sensitivity analysis, particularly screening is crucial for identifying influential input parameters. Kernel‐based methods, such as the Hilbert‐Schmidt Independence Criterion (HSIC), are valuable for analyzing ...
Guerlain Lambert+2 more
wiley +1 more source
Abstract Extant research has focused on the barriers faced by minority faculty in academia. Despite outward notions of commitment to diversity, higher education institutions remain largely exclusive to anyone who does not prescribe to the ‘ideal’ faculty. Recently, more attention has been given to minority faculty who possess intersectional identities,
Tessa Lukkien+2 more
wiley +1 more source
Abstract Educating more students about ecology and its beneficial applications to societal issues is urgent yet challenging. To address this challenge, diversifying ecology education is a key way to make ecology more inclusive, accessible, and interdisciplinary for more people than ever.
Loren B. Byrne+8 more
wiley +1 more source
Nonlinear Jordan triple derivable mapping on ∗-type trivial extension algebras
The aim of the paper was to give a description of nonlinear Jordan triple derivable mappings on trivial extension algebras. We proved that every nonlinear Jordan triple derivable mapping on a $ 2 $-torsion free $ * $-type trivial extension algebra is a ...
Xiuhai Fei , Cuixian Lu, Haifang Zhang
doaj +1 more source