Let A be a unital algebra and M be a unital A-bimodule. A characterization of generalized derivations and generalized Jordan derivations from A into M, through zero products or zero Jordan products, is given. Suppose that M is a unital left A-module. It is investigated when a linear mapping from A into M is a Jordan left derivation under certain conditions. It is also studied whether an algebra...

1. Dept. of Community and Mental Health Nursing, School of Nursing, Mafraq, Jordan 2. Dept. of Maternal, Child and Family Health, School of Nursing, the Hashemite University, Zarqa, Jordan 3. Dept. of Adult Health, School of Nursing, Zarqa University, Zarqa, Jordan 4. Unit of E-Learning & Information Technology, College of Nursing, King Saud University, Al-Diriyah, Saudi Arabia 5. Dept. of Midw...

A century ago, Camille Jordan proved that the complex general linear group GLn(C) has the Jordan property: there is a Jordan constant Cn such that every finite subgroup H ≤ GLn(C) has an abelian subgroup H1 of index [H : H1] ≤ Cn. We show that every connected algebraic group G (which is not necessarily linear) has the Jordan property with the Jordan constant depending only on dimG, and that the...

In this paper we characterize the left Jordan derivations on Banach algebras. Also, it is shown that every bounded linear map $d:mathcal Ato mathcal M$ from a von Neumann algebra $mathcal A$ into a Banach $mathcal A-$module $mathcal M$ with property that $d(p^2)=2pd(p)$ for every projection $p$ in $mathcal A$ is a left Jordan derivation.

We follow the rules: i, j, m, n, k denote natural numbers, K denotes a field, and a, λ denote elements of K. Let us consider K, λ, n. The Jordan block of λ and n yields a matrix over K and is defined by the conditions (Def. 1). (Def. 1)(i) len (the Jordan block of λ and n) = n, (ii) width (the Jordan block of λ and n) = n, and (iii) for all i, j such that 〈i, j〉 ∈ the indices of the Jordan bloc...

Nineteen species of anopheline and culicine mosquitoes are reported from larval collections made in northern Jordan and the Jordan Valley. Culex judaicus, Culiseta annulata, and Uranotaenia unguiculata are reported as new records for Jordan. The impact of agricultural development and man-made changes on the mosquito fauna of Jordan is discussed.

Analysis and Identification of Malicious JavaScript Code Mohammad Fraiwan a , Rami Al-Salman a , Natheer Khasawneh b & Stefan Conrad c a Department of Computer Engineering, Jordan University of Science and Technology, Irbid, Jordan b Department of Software Engineering, Jordan University of Science and Technology, Irbid, Jordan c Institute of Computer Science, Heinrich-Heine University, Düesseld...

A robotic intelligent wheelchair system based on obstacle avoidance and navigation functions Mohammed Alshraideh, Basel A. Mahafzah, Saleh Al-Sharaeh & Ziad M. Hawamdeh a Department of Computer Science, King Abdullah II School for Information Technology, The University of Jordan, Amman 11942, Jordan b Department of Special Surgery, Faculty of Medicine, The University of Jordan, Amman 11942, Jor...

Let $mathcal {A} $ and $mathcal {B} $ be C$^*$-algebras. Assume that $mathcal {A}$ is of real rank zero and unital with unit $I$ and $k>0$ is a real number. It is shown that if $Phi:mathcal{A} tomathcal{B}$ is an additive map preserving $|cdot|^k$ for all normal elements; that is, $Phi(|A|^k)=|Phi(A)|^k $ for all normal elements $Ainmathcal A$, $Phi(I)$ is a projection, and there exists a posit...