Generalized (; )-derivations and Left Ideals in Prime and Semiprime Rings

Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2017, Vol 13, Issue 2

Abstract

Let R be an associative ring, ; be the automorphisms of R, be a nonzero left ideal of R, F : R ! R be a generalized (; )-derivation and d : R ! Rbe an (; )-derivation. In the present paper we discuss the following situations: (i) F(xoy) = a(xy yx), (ii) F([x; y]) = a(xy yx), (iii) d(x)od(y) = a(xy yx) forall x; y 2 and a 2 f0; 1;ô€€€1g. Also some related results have been obtained.

Authors and Affiliations

Asma Ali, Hamidur Rahaman

Keywords

Related Articles

Dynamics of certain anti-competitive systems of rational difference equations in the plane

In this paper, we consider a system of rational difference equations and we will prove that the unique positive equilibrium point of this system is globally asymptotically stable. We also determine the rate of convergenc...

On Statistically Convergent and Statistically Cauchy Sequences in Non-Archimedean fields

In this paper, denotes a complete, non-trivially valued non-archimedean field. In the present paper, statistical convergence of sequences and statistically Cauchy sequences are defined and a few theorems on statistically...

On Hydromagnetic Channel Flow of an Oldroyd-B Fluid induced by Pulses of Longitudinal Impulses

A flow problem concerning motion of an incompressible electrically conducting Oldroyd-B fluid in a channel bounded by two infinite rigid non-conducting parallel plates in presence of an external magnetic field...

An Alternative Formulae for the Net Present Value (NPV)

An alternative formulae is derived for NPV. First, the equivalence of NPV formulae and the value of a special portfolio is shown and weights of special portfolio is derived by minimizing the variance of portfolio.

The Complete Solution of some Kinds of Linear Third Order Partial Differential Equations with Three Independent Variables and variable coefficients

In this paper we find the complete solution of some kinds of linear third order partial differential equations of variable coefficients with three independent variables which have the general form  Where A,B,…,T a...

Download PDF file
  • EP ID EP651778
  • DOI 10.24297/jam.v13i2.6024
  • Views 159
  • Downloads 0

How To Cite

Asma Ali, Hamidur Rahaman (2017). Generalized (; )-derivations and Left Ideals in Prime and Semiprime Rings. JOURNAL OF ADVANCES IN MATHEMATICS, 13(2), 7163-7167. https://europub.co.uk/articles/-A-651778