Universal α-elasticity of generalized Bol loops

Authors

  • Abdulafeez Abdulkareem University of Africa Toru Orua, Nigeria
  • John Olusola Adeniran Department of Mathematics, Federal University of Agriculture Abeokuta, Nigeria
  • Abdul Akeem Adesina Agboola Department of Mathematics, Federal University of Agriculture Abeokuta, Nigeria
  • Gboyega Augustine Adebayo Department of Physics, Federal University of Agriculture Abeokuta, Nigeria

Keywords:

Generalized Bol loops, alpha-elasticity property, alpha-alternative laws , Abelian group

Abstract

In this study we introduce α-elasticity property for generalized Bol loops. Necessary and sufficient conditions for α-elasticity of generalized Bol loops to be universal are given. Using the universal conditions, and in some cases, with the newly introduced right and left α-alternative laws for generalized Bol loops, some properties of generalized Bol loops are studied. Condition under which the generalized Bol loop is an abelian group is stated.

Downloads

Download data is not yet available.

Downloads

Published

2023-04-29

Issue

Vol. 14 (2023)

Section

Articles

License

Copyright (c) 2023 Annals of Mathematics and Computer Science

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.