On generalised semi-automorphic inverse property loops

Proyecciones (Antofagasta) 2026 Open access

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Authors: F. J. Adetunji, Emmanuel Ilojide, O. Adeniran, A. O. Abdulkareem
DOI: 10.22199/issn.0717-6279-6797
Cited by: 0
References: 8

Abstract

In this paper, we studied the semi-automorphic inverse property (SAIP) loops. Identities characterising the innner mappings of a generalised SAIP was establised, it was shown that a generalised SAIP loop i.e. \alpha-semi-automorphic loops concided with RIP and ARIF loops in the generalised context. A link between the commutant and and Moufang element of the \alpha-semi-automorphic inverse property was establised. Finally, commutant of generalised SAIP loop was found to be a subloop.

Fields of Study & Subjects

Mathematics and Applications Advanced Algebra and Logic Advanced Topics in Algebra

Publication details

Journal / source
Proyecciones (Antofagasta)
Volume
44
Issue
6
Pages
1085–1100
Publication date
16 February 2026
Language
EN