On a class of power associative LCC-loops

Let LWPC denote the identity (xy · x) · xz = x((yx · x)z), and RWPC the mirror identity. Phillips proved that a loop satisfies LWPC and RWPC if and only if it is a WIP PACC loop. Here, it is proved that a loop Q fulfils LWPC if and only if it is a left conjugacy closed (LCC) loop that fulfils the i...

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Bibliographic Details
Main Authors: O.O. George, J.O. Olaleru, J.O. Adénı́ran, T.G. Jaiyéolá
Format: Article
Language:English
Published: University of Extremadura 2022-04-01
Series:Extracta Mathematicae
Subjects:
Online Access:https://publicaciones.unex.es/index.php/EM/article/view/1201