On Orthogonal Generalized (σ, τ)-Derivations of Semiprim Near-Rings

- Journal title : Kyungpook mathematical journal
- Volume 50, Issue 3, 2010, pp.379-387
- Publisher : Department of Mathematics, Kyungpook National University
- DOI : 10.5666/KMJ.2010.50.3.379

Title & Authors

On Orthogonal Generalized (σ, τ)-Derivations of Semiprim Near-Rings

Huang, Shuliang;

Huang, Shuliang;

Abstract

In this paper, we present some results concerning orthogonal generalized ()-derivations in semiprime near-rings. These results are a generalization of result of Bresar and Vukman, which are related to a theorem of Posner for the product of two derivations in prime rings.

Keywords

Semiprime near-ring;orthogonal generalized ()-derivation;-centralizer;

Language

English

References

1.

M. Ashraf, A. Ali and S. Ali, (${\sigma},\;{\tau}$ )-derivations on prime near-rings, Arch. Math., (Brno), 40(2004), 281-286.

2.

N. Argac, A. Nakajima and E. Albas, On orthogonal generalized derivations of semiprime rings, Turk J. Math., 28(2004), 185-194.

3.

H. E. Bell and G. Mason, On derivations in near-rings, Near-rings and Near-fields, 1987, 31-35.

4.

M. Bresar and J. Vukman, Orthogonal derivations and an extension of a theorem of Posner, Rad. Math., 5(1989), 237-246.

5.

K. I. Beidar, Y. Fong, W. F. Ke and S. Y. Liang, Near-ring multiplication on groups, Comm. Algebra, 23(1995), 999-1015.

6.

J. R. Clay, Nearrings geneses and applications, Oxford University Press, New York, 1992.

7.

O. Golbasi and N. Aydin, Orthogonal generalized (${\sigma},\;{\tau}$ )-derivations of semiprime rings, Siberian Mathematical Journal, 48(2007), 979-983.

8.

K. H. Park and Y. S. Jung, Semiprime near-rings with orthogonal derivations, J. Korea Soc. Math. Edu. Ser.B: Pure Appl. Math., 13(2006), 303-310.