The Derivatives of Moufang loops

Abstract

We investigate the question over the nature of the left and right derivatives of Moufang loops and find out that the derivatives of a Moufang loop are Moufang loops that is, loops of Bol-Moufang type.

Keywords: Derivatives, Moufang loops, Isotopism, Principal isotopism, k-isotope

Journal of the Nigerian Association of Mathematical Physics, Volume 19 (November, 2011), pp 33 – 36