Universal $\alpha$-elasticity of generalized Moufang loops
Group Theory
2019-10-17 v3
Abstract
In this study we introduce -elasticity property for generalized Moufang loops. Necessary and sufficient conditions for -elasticity of generalized Moufang loops to be universal are given. Using the universal conditions, and in some cases, with the newly introduced right and left -alternative laws for generalized Moufang loops, some properties of generalized Moufang loops are studied. Condition under which the generalized Moufang loop is an abelian group is stated.
Cite
@article{arxiv.1803.04243,
title = {Universal $\alpha$-elasticity of generalized Moufang loops},
author = {A. O. Abdulkareem and J. O. Adeniran and A. A. A. Agboola and G. A. Adebayo},
journal= {arXiv preprint arXiv:1803.04243},
year = {2019}
}
Comments
15 pages