Results 41 to 50 of about 78,123 (278)

Jordan Derivations of Prime Rings [PDF]

Proceedings of the American Mathematical Society, 1957
A Jordan derivation of an associative ring \(A\) is a derivation for \(A^+\), the Jordan ring obtained from \(A\) by replacing its associative multiplication by \(a\circ b= ab+ba\). It is proved that if \(A\) is a prime ring of characteristic not two, then any Jordan derivation of \(A\) is an ordinary (associative) derivation. For characteristic 2, the
openaire   +1 more source

Boundedness of completely additive measures with application to 2-local triple derivations

, 2015
We prove a Jordan version of Dorofeev's boundedness theorem for completely additive measues and use it to show that every (not necessarily linear nor continuous) 2-local triple derivation on a continuous JBW*-triple is a triple derivation.Comment: 30 ...
Antonio M. Peralta, Ayupov S., Ayupov S., Bernard Russo, Chu C.-H., Hanche-Olsen H., Jan Hamhalter, Kadison R. V., Karimbergen Kudaybergenov, Kudaybergenov K., Matveĭchuk M. S., Matveĭchuk M. S., Topping D. M.   +12 more
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*-Jordan Semi-Triple Derivable Mappings

Indian Journal of Pure and Applied Mathematics, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chen, Lin, Zhang, Jianhua
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Local triple derivations on C*-algebras and JB*-triples

, 2013
In a first result we prove that every continuous local triple derivation on a JB$^*$-triple is a triple derivation. We also give an automatic continuity result, that is, we show that local triple derivations on a JB$^*$-triple are continuous even if not ...
Burgos, María, Fernández-Polo, Francisco J., Peralta, Antonio M.   +2 more
core   +1 more source

Novel Functional Materials via 3D Printing by Vat Photopolymerization

Advanced Functional Materials, EarlyView.
This Perspective systematically analyzes strategies for incorporating functionalities into 3D‐printed materials via Vat Photopolymerization (VP). It explores the spectrum of achievable functionalities in recently reported novel materials—such as conductive, energy‐storing, biodegradable, stimuli‐responsive, self‐healing, shape‐memory, biomaterials, and
Sergey S. Nechausov, Patrick Fesser, Boris A. Bulgakov, Ulrich S. Schubert   +3 more
wiley   +1 more source

GENERALIZED JORDAN DERIVATIONS ON SEMIPRIME RINGS [PDF]

Journal of the Australian Mathematical Society, 2019
The purpose of this note is to prove the following. Suppose $\mathfrak{R}$ is a semiprime unity ring having an idempotent element $e$ ($e\neq 0,~e\neq 1$) which satisfies mild conditions. It is shown that every additive generalized Jordan derivation on $\mathfrak{R}$ is a generalized derivation.
Ferreira, Bruno L M, Guzzo Jr., Henrique, Ferreira, Ruth N.   +2 more
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Jordan Derivations and Antiderivations of Generalized Matrix Algebras [PDF]

, 2012
Let $\mathcal{G}=[A & M N & B]$ be a generalized matrix algebra defined by the Morita context $(A, B,_AM_B,_BN_A, \Phi_{MN}, \Psi_{NM})$. In this article we mainly study the question of whether there exist proper Jordan derivations for the generalized ...
Feng Wei, Leon Van, Wyk, Yanbo Li
core  

Ternary Weakly Amenable C*-algebras and JB*-triples

, 2012
A well known result of Haagerup from 1983 states that every C*-algebra A is weakly amenable, that is, every (associative) derivation from A into its dual is inner. A Banach algebra B is said to be ternary weakly amenable if every continuous Jordan triple
Ho, Tony, Peralta, Antonio M., Russo, Bernard   +2 more
core   +1 more source

In Situ Amine Formation to Modulate MOF‐Derived PdIn N‐Doped Carbon Catalysts

Advanced Materials, EarlyView.
An amine‐assisted approach converts PdIn‐MOF into PdIn intermetallic nanoparticles embedded in N‐doped carbon. In situ‐generated amines trigger early Pd nucleation, producing smaller PdIn domains than direct pyrolysis. Amine sterics and basicity tune composition and particle size, while solvent and amine co‐determine textural features.
Gonzalo Egea, Jordan Santiago Martinez, M. Asunción Molina, Jaime Mazarío, Lucy Costley‐Wood, Christian Cerezo‐Navarrete, Carlo Marini, Eduardo Villalobos‐Portillo, Andrew M. Beale, Pascual Oña‐Burgos   +9 more
wiley   +1 more source

A note on derivations in semiprime rings

International Journal of Mathematics and Mathematical Sciences, 2005
We prove in this note the following result. Let n>1 be an integer and let R be an n!-torsion-free semiprime ring with identity element. Suppose that there exists an additive mapping D:R→R such that D(xn)=∑j=1nxn−jD(x)xj−1 is fulfilled for all x∈R.
Joso Vukman, Irena Kosi-Ulbl
doaj   +1 more source