International Journal of Management, IT and Engineering
  • Year: 2014
  • Volume: 4
  • Issue: 10

Inverse property loops and the its nucleus

  • Author:
  • Lois Adewoye Ademola
  • Total Page Count: 5
  • Page Number: 205 to 209

School of Mathematics, Universiti Sains Malaysia

Online published on 29 November, 2014.

Abstract

In this paper we give a detailed and step by step proof of the coincidence of the nucleus N of a loop L that is equiped with the inverse property. We further considered some properties of the inner mappings of N.

Keywords

Loop, Inverse property, Nucleus, Automorphisms, Autotopism, Pseudo-automorphisms, Moufang elements, Moufang Loop