( U,R) STRONGLY DERIVATION PAIRS ON LIE IDEALS IN RINGS
Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2015, Vol 10, Issue 8
Abstract
Let R be an associative ring , U be a nonzero Lie ideal of R. In this paper , we will present the definition of (U,R) strongly derivation pair (d,g) , then we will get d=0 (resp. g=0 ) under certain conditions on d and g for (U,R) strongly derivation pair (d,g) on semiprime ring . After that we will study prime rings , semiprime rings ,and rings that have a commutator left nonzero divisor with (U,R) strongly derivation pair (d,g) , to obtain the notation of (U,R) derivation .
Authors and Affiliations
Ikram A. Saed
Modeling and Simulation of a high sensitivity biosensor in a periodic array of metal nanorod pair by using the finite element method
We numerically investigated the surface plasmon resonances (SPRs) in a periodic array of solid-silver/silver-shell nanorod pair structures for sensing applications by employing a finite-element method. The proposed perio...
Oscillation Results for First Order Nonlinear Neutral Dierence Equation with \Maxima"
In this paper we consider the rst order nonlinear neutral dierenceequation with maxima of the form:and established some sucient conditions for the oscillation of all solutions of the above equation. Examples are provided...
Mathematica Module for Singularity Free Computations of Euler Parameters
In this paper,a Mathematica module for singularityfree computations of Euler parameters was established .The basic idea that we follow in developing these computationsis to make the values o...
Numerical Approximation of Internal Temperature in the Cylinder of an IC Engine
In this study, mollification and marching methods are used to solve an inverse problem in combustion engines. With the benefit of 2D mollification, we first propose an algorithm, and then prove some theorems, which ensur...
Cauchy sequences and a Meir-Keeler type fixed point theorem in partial metric spaces.
In this paper we prove some new conditions for Cauchy sequences by using the diameter of orbit in partial metric spaces. A fixed point theorem for Meir-Keeler type contractions in this space is established.