An extension formula for right Bol loops arising from Bol reflections

We study a new extension formula for right Bol loops. We prove the necessary or sufficient conditions for the extension to be right Bol. We describe the most important invariants: right multiplication group, nuclei, and center. We show that the core is an involutory quandle which is the disjoint uni...

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Bibliographic Details
Published in:Communications in algebra Vol. 52; no. 12; pp. 5150 - 5164
Main Authors: Galici, Mario, Nagy, Gábor P.
Format: Journal Article
Language:English
Published: Abingdon Taylor & Francis 01.12.2024
Taylor & Francis Ltd
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ISSN:0092-7872, 1532-4125
Online Access:Get full text
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