On the right automorphic generalised Bol loops

Authors

  • Dr. Abdulkareem A.O. Lagos State University Ojo Lagos Nigeria https://orcid.org/0000-0003-4960-5003
  • Y.T Oyebo
  • J. O. Adeniran Department of Mathematics, College of Physical Sciences, Federal University of Agriculture Abeokuta.

DOI:

https://doi.org/10.22199/issn.0717-6279-5862

Keywords:

Generalised Bol loops, Generalised Moufang loop, Right translation map, Inner mapping

Abstract

This study centers on right automophic generalised Bol loops. Having established the generators of inner mapping group of generalised Bol loops, some properties of generalised Bol loops, in terms of right translation map, are obtained. These properties are later used to established a condition under which right automorphic generalised Bol loop is a generalised Moufang loop.

Author Biography

Dr. Abdulkareem A.O., Lagos State University Ojo Lagos Nigeria

Department of Mathematics

References

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Published

2024-06-24

How to Cite

[1]
A. Abdulkareem, Y. Oyebo, and J. O. Adeniran, “On the right automorphic generalised Bol loops”, Proyecciones (Antofagasta, On line), vol. 43, no. 4, pp. 935-946, Jun. 2024.

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