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International Journal of Management, IT and Engineering
Year : 2014, Volume : 4, Issue : 10
First page : ( 205) Last page : ( 209)
Online ISSN : 2249-0558.

Inverse property loops and the its nucleus

Ademola Lois Adewoye

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.

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Keywords

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

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