PSEUDO-AUTOMORPHISMS OF MIDDLE BOL LOOPS

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2017

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CEP USM

Abstract

The set of Moufang elements in a middle Bol loop is considered in the present work. We prove that every inner mapping of the Moufang part (which is a subloop) of a middle Bol loop (Q,·) extends to a right pseudo-automorphism of (Q,·)

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Keywords

loop, multiplication grou, inner mapping, middle Bol loop, pseudo-automorphism

Citation

GRECU, Ion. Pseudo-automorphisms of middle Bol loops. In:The Fourth Conference of Mathematical Society of the Republic of Moldova dedicated to the centenary of V. Andrunachievici (1917-1997): Proceeding CMSM4, June28-July2, 2017. Ch.: CEP USM, 2017, pp. 83-86. ISBN 978-9975-71-915-5.

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