Results 51 to 60 of about 865 (267)
On Functional Inequalities Originating from Module Jordan Left Derivations
Journal of Inequalities and Applications, 2008 We first examine the generalized Hyers-Ulam stability of functional inequality associated with module Jordan left derivation (resp., module Jordan derivation). Secondly, we study the functional inequality with linear Jordan left derivation (resp., linear
Ick-Soon Chang +2 more
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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 +1 more
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Characterization of Non-Linear Bi-Skew Jordan n-Derivations on Prime ∗-Algebras
Axioms, 2023 Let A be a prime *-algebra. A product defined as U•V=UV∗+VU∗ for any U,V∈A, is called a bi-skew Jordan product. A map ξ:A→A, defined as ξpnU1,U2,⋯,Un=∑k=1npnU1,U2,...,Uk−1,ξ(Uk),Uk+1,⋯,Un for all U1,U2,...,Un∈A, is called a non-linear bi-skew Jordan n ...
Asma Ali, Amal S. Alali, Mohd Tasleem
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ON JORDAN IDEALS AND JORDAN DERIVATIONS OF PRIME RINGS
Demonstratio Mathematica, 2004 A classical result by \textit{I. N. Herstein} [Proc. Am. Math. Soc. 8, 1104-1110 (1958; Zbl 0216.07202)] states that a Jordan derivation of a prime ring of characteristic not 2 is a derivation. The main result of the paper shows that the same is true on Jordan ideals of prime rings that are simultaneously subrings.
Ashraf, Mohammad, Nadeem-ur-Rehman
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Jordan and Jordan higher all-derivable points of some algebras [PDF]
Linear and Multilinear Algebra, 2013 In this paper, we characterize Jordan derivable mappings in terms of Peirce decomposition and determine Jordan all-derivable points for some general bimodules. Then we generalize the results to the case of Jordan higher derivable mappings. An immediate application of our main results shows that for a nest $\mathcal{N}$ on a Banach $X$ with the ...
Li, Jiankui, Pan, Zhidong, Shen, Qihua
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Nonlinear Mixed Jordan Triple $ * $-Derivations on $ * $-Algebras
Siberian Mathematical Journal, 2022 Let $\mathcal {A}$ be a unital $\ast$-algebra. For $A, B\in\mathcal{A}$, define by $[A, B]_{*}=AB-BA^{\ast}$ and $A\bullet B=AB+BA^{\ast}$ the new products of $A$ and $B$. In this paper, under some mild conditions on $\mathcal {A}$, it is shown that a map $ :\mathcal {A}\rightarrow \mathcal {A}$ satisfies $ ([A\bullet B, C]_{*})=[ (A)\bullet B, C]_{*
C. Li, D. Zhang
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Asia-Pacific Journal of Chemical Engineering, EarlyView.ABSTRACT Drilling fluids used in high‐performance well operations often struggle to maintain rheological stability, colloidal dispersion, and filtration control under harsh downhole conditions. This study engineered a multifunctional Fe3O4@Saponin/Cu(II) nanocomposite to address these challenges.
Kassem Al Attabi +9 more
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Jordan *-derivations of standard operator algebras [PDF]
Proceedings of the American Mathematical Society, 1994 Let H H be a real or complex Hilbert space, dim H > 1 \dim H > 1 , and B ( H ) \mathcal {B}(H) the algebra of all bounded linear operators on H H .
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SkelPy: A graphic user interface–based approach for skeletonizing fungal networks
Applications in Plant Sciences, EarlyView.Abstract Premise Traditional methods to quantify mycelial growth rely on destructive sampling to quantify biomass. Moreover, these approaches limit continuous observation and require a sufficient mass to measure. Recent work examines hyphal network traits by reconstructing the hyphal network from spatial coordinates via images, providing information ...
Melanie Madrigal +3 more
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Jordan derivations of polynomial rings
Karpatsʹkì Matematičnì Publìkacìï, 2009 We study connections between the set of Jordan derivations of aring $R$ and the sets of Jordan derivations of a polynomial ring$R[x_1,dots,x_n]$ and formal power series ring$R[[x_1,dots,x_n]]$.
I. I. Lishchynsky
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