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arXiv · 1803.04243

Universal $\alpha$-elasticity of generalized Moufang loops

A. O. Abdulkareem·J. O. Adeniran·A. A. A. Agboola·G. A. Adebayo
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Abstract

In this study we introduce $\alpha$-elasticity property for generalized Moufang loops. Necessary and sufficient conditions for $\alpha$-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 $\alpha$-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.

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BibTeXRIS

A. O. Abdulkareem, J. O. Adeniran, A. A. A. Agboola, G. A. Adebayo. 2018-03-12. Universal $\alpha$-elasticity of generalized Moufang loops. https://arxiv.org/abs/1803.04243

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