IJPAM: Volume 34, No. 1 (2007)

THE ACT ON THE DUAL NUMBERS

Essin Turhan$^1$, Vedat Asil$^2$
$^{1,2}$Department of Mathematics
Faculty of Arts and Sciences
Firat University
Elazig, 23119, TURKEY
$^1$e-mail: essinturhan@yahoo.com
$^2$e-mail: enginvedat@hotmail.com


Abstract.In this paper, we study that dual number set is a Lie group under the addition of the dual numbers. Furthermore we define act on the dual numbers and we get $\widehat{A}$ which is obtained from the motion of screw by using tangent of the curve.

Received: October 18, 2006

AMS Subject Classification: 11R04, 11R52

Key Words and Phrases: dual number, dual vector, Lie group

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2007
Volume: 34
Issue: 1